Search a number
-
+
1013300223210 = 2325112432163923
BaseRepresentation
bin11101011111011010110…
…01100101110011101010
310120212111122010202202200
432233231121211303222
5113100214324120320
62053300444241030
7133131344533002
oct16575531456352
93525448122680
101013300223210
11360813617500
12144474240176
1374727915ac2
1437088a03002
151b55921d290
hexebed665cea

1013300223210 has 144 divisors (see below), whose sum is σ = 2963208280032. Its totient is φ = 239935671360.

The previous prime is 1013300223161. The next prime is 1013300223239. The reversal of 1013300223210 is 123220033101.

1013300223210 is a `hidden beast` number, since 10 + 1 + 330 + 0 + 2 + 2 + 321 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 613692 + ... + 1550231.

It is an arithmetic number, because the mean of its divisors is an integer number (20577835278).

Almost surely, 21013300223210 is an apocalyptic number.

1013300223210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013300223210 is an abundant number, since it is smaller than the sum of its proper divisors (1949908056822).

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

1013300223210 is a wasteful number, since it uses less digits than its factorization.

1013300223210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164001 (or 2163987 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1013300223210 its reverse (123220033101), we get a palindrome (1136520256311).

The spelling of 1013300223210 in words is "one trillion, thirteen billion, three hundred million, two hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 121 129 165 198 215 242 258 330 363 387 430 473 495 605 645 726 774 946 990 1089 1210 1290 1419 1815 1935 2178 2365 2838 3630 3870 4257 4730 5203 5445 7095 8514 10406 10890 14190 15609 21285 26015 31218 42570 46827 52030 78045 93654 156090 234135 468270 2163923 4327846 6491769 10819615 12983538 19475307 21639230 23803153 32458845 38950614 47606306 64917690 71409459 93048689 97376535 119015765 142818918 186097378 194753070 214228377 238031530 261834683 279146067 357047295 428456754 465243445 523669366 558292134 714094590 785504049 837438201 930486890 1023535579 1071141885 1309173415 1395730335 1571008098 1674876402 2047071158 2142283770 2356512147 2618346830 2791460670 3070606737 3927520245 4187191005 4713024294 5117677895 6141213474 7855040490 8374382010 9211820211 10235355790 11258891369 11782560735 15353033685 18423640422 22517782738 23565121470 30706067370 33776674107 46059101055 56294456845 67553348214 92118202110 101330022321 112588913690 168883370535 202660044642 337766741070 506650111605 1013300223210