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13020110303310 = 2345116359229799
BaseRepresentation
bin1011110101110111101100…
…0011001011000001001110
31201002201011212120210020000
42331131323003023001032
53201310141214201220
643405204530105130
72512446320352315
oct275357303130116
951081155523200
1013020110303310
11416a885918280
12156347471b1a6
13735a39173486
14330268c2127c
15178a39e40390
hexbd77b0cb04e

13020110303310 has 160 divisors (see below), whose sum is σ = 38198495808000. Its totient is φ = 3155880277440.

The previous prime is 13020110303279. The next prime is 13020110303311. The reversal of 13020110303310 is 1330301102031.

It is a happy number.

13020110303310 is a `hidden beast` number, since 1 + 30 + 20 + 1 + 1 + 0 + 303 + 310 = 666.

It is a super-2 number, since 2×130201103033102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020110303311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56543791 + ... + 56773589.

It is an arithmetic number, because the mean of its divisors is an integer number (238740598800).

Almost surely, 213020110303310 is an apocalyptic number.

13020110303310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020110303310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099247904000).

13020110303310 is an abundant number, since it is smaller than the sum of its proper divisors (25178385504690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13020110303310 is a wasteful number, since it uses less digits than its factorization.

13020110303310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236188 (or 236179 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13020110303310 its reverse (1330301102031), we get a palindrome (14350411405341).

The spelling of 13020110303310 in words is "thirteen trillion, twenty billion, one hundred ten million, three hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 6359 8910 12718 19077 31795 38154 57231 63590 69949 95385 114462 139898 171693 190770 209847 229799 286155 343386 349745 419694 459598 515079 572310 629541 689397 699490 858465 1030158 1049235 1148995 1259082 1378794 1716930 1888623 2068191 2098470 2297990 2527789 2575395 3147705 3446985 3777246 4136382 5055578 5150790 5665869 6204573 6295410 6893970 7583367 9443115 10340955 11331738 12409146 12638945 15166734 18613719 18886230 20681910 22750101 25277890 28329345 31022865 37227438 37916835 45500202 56658690 62045730 68250303 75833670 93068595 113750505 136500606 186137190 204750909 227501010 341251515 409501818 682503030 1023754545 1461291841 2047509090 2922583682 4383875523 7306459205 8767751046 13151626569 14612918410 16074210251 21919377615 26303253138 32148420502 39454879707 43838755230 48222630753 65758132845 78909759414 80371051255 96445261506 118364639121 131516265690 144667892259 160742102510 197274398535 236729278242 241113153765 289335784518 394548797070 434003676777 482226307530 591823195605 723339461295 868007353554 1183646391210 1302011030331 1446678922590 2170018383885 2604022060662 4340036767770 6510055151655 13020110303310