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13311121301232 = 2434189383198427
BaseRepresentation
bin1100000110110011110010…
…1010000001111011110000
31202010112022221010012021020
43001230330222001323300
53221042134023114412
644151013353455440
72542460665130556
oct301547452017360
952115287105236
1013311121301232
11427223aa55237
1215ab94b711580
137573058a2931
143403941b1bd6
151813bd39618c
hexc1b3ca81ef0

13311121301232 has 160 divisors (see below), whose sum is σ = 35714754109440. Its totient is φ = 4268984586240.

The previous prime is 13311121301209. The next prime is 13311121301263. The reversal of 13311121301232 is 23210312111331.

It is a super-2 number, since 2×133111213012322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66984003 + ... + 67182429.

It is an arithmetic number, because the mean of its divisors is an integer number (223217213184).

Almost surely, 213311121301232 is an apocalyptic number.

13311121301232 is a gapful number since it is divisible by the number (12) 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 13311121301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857377054720).

13311121301232 is an abundant number, since it is smaller than the sum of its proper divisors (22403632808208).

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

13311121301232 is a wasteful number, since it uses less digits than its factorization.

13311121301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198951 (or 198945 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13311121301232 its reverse (23210312111331), we get a palindrome (36521433412563).

The spelling of 13311121301232 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-one million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 89 123 164 178 246 267 328 356 383 492 534 656 712 766 984 1068 1149 1424 1532 1968 2136 2298 3064 3649 4272 4596 6128 7298 9192 10947 14596 15703 18384 21894 29192 31406 34087 43788 47109 58384 62812 68174 87576 94218 102261 125624 136348 175152 188436 198427 204522 251248 272696 376872 396854 409044 545392 595281 753744 793708 818088 1190562 1397567 1587416 1636176 2381124 2795134 3174832 4192701 4762248 5590268 8135507 8385402 9524496 11180536 16271014 16770804 17660003 22361072 24406521 32542028 33541608 35320006 48813042 52980009 65084056 67083216 70640012 75997541 97626084 105960018 130168112 141280024 151995082 195252168 211920036 227992623 282560048 303990164 390504336 423840072 455985246 607980328 724060123 847680144 911970492 1215960656 1448120246 1823940984 2172180369 2896240492 3115899181 3647881968 4344360738 5792480984 6231798362 6763781149 8688721476 9347697543 11584961968 12463596724 13527562298 17377442952 18695395086 20291343447 24927193448 27055124596 34754885904 37390790172 40582686894 49854386896 54110249192 74781580344 81165373788 108220498384 149563160688 162330747576 277315027109 324661495152 554630054218 831945081327 1109260108436 1663890162654 2218520216872 3327780325308 4437040433744 6655560650616 13311121301232