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13110033014320 = 24511160921294349
BaseRepresentation
bin1011111011000110101011…
…0111000101111000110000
31201102022021202000210210011
42332301222313011320300
53204243321422424240
643514355505544304
72522111560653454
oct276615267057060
951368252023704
1013110033014320
1141a4a2a949a70
12157898b645094
13741369c74308
14334759760664
1517b04e6016ea
hexbec6adc5e30

13110033014320 has 160 divisors (see below), whose sum is σ = 33295759560000. Its totient is φ = 4760989040640.

The previous prime is 13110033014303. The next prime is 13110033014321. The reversal of 13110033014320 is 2341033001131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13110033014291 and 13110033014300.

It is not an unprimeable number, because it can be changed into a prime (13110033014321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3014491506 + ... + 3014495854.

It is an arithmetic number, because the mean of its divisors is an integer number (208098497250).

Almost surely, 213110033014320 is an apocalyptic number.

13110033014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110033014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647879780000).

13110033014320 is an abundant number, since it is smaller than the sum of its proper divisors (20185726545680).

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

13110033014320 is a wasteful number, since it uses less digits than its factorization.

13110033014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8111 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13110033014320 its reverse (2341033001131), we get a palindrome (15451066015451).

The spelling of 13110033014320 in words is "thirteen trillion, one hundred ten billion, thirty-three million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1609 2129 3218 4258 4349 6436 8045 8516 8698 10645 12872 16090 17032 17396 17699 21290 21745 23419 25744 32180 34064 34792 35398 42580 43490 46838 47839 64360 69584 70796 85160 86980 88495 93676 95678 117095 128720 141592 170320 173960 176990 187352 191356 234190 239195 283184 347920 353980 374704 382712 468380 478390 707960 765424 936760 956780 1415920 1873520 1913560 3425561 3827120 6851122 6997541 9259021 13702244 13995082 17127805 18518042 27404488 27990164 34255610 34987705 37036084 37681171 46295105 54808976 55980328 68511220 69975410 74072168 75362342 76972951 92590210 101849231 111960656 137022440 139950820 148144336 150724684 153945902 185180420 188405855 203698462 274044880 279901640 301449368 307891804 370360840 376811710 384864755 407396924 509246155 559803280 602898736 615783608 740721680 753623420 769729510 814793848 1018492310 1231567216 1507246840 1539459020 1629587696 2036984620 3014493680 3078918040 4073969240 6157836080 8147938480 14897764789 29795529578 59591059156 74488823945 119182118312 148977647890 163875412679 238364236624 297955295780 327750825358 595910591560 655501650716 819377063395 1191821183120 1311003301432 1638754126790 2622006602864 3277508253580 6555016507160 13110033014320