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13311133031412 = 22327983307183683
BaseRepresentation
bin1100000110110011110101…
…0110110001101111110100
31202010112100202012011001100
43001230331112301233310
53221042200024001122
644151014453130100
72542461166624416
oct301547526615764
952115322164040
1013311133031412
1142722466372a7
1215ab953629930
1375730814bb78
143403959869b6
151813be411aac
hexc1b3d5b1bf4

13311133031412 has 144 divisors (see below), whose sum is σ = 34596543421440. Its totient is φ = 4313976024384.

The previous prime is 13311133031393. The next prime is 13311133031429. The reversal of 13311133031412 is 21413033111331.

13311133031412 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 1 + 330 + 314 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72376123 + ... + 72559805.

It is an arithmetic number, because the mean of its divisors is an integer number (240253773760).

Almost surely, 213311133031412 is an apocalyptic number.

13311133031412 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 13311133031412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298271710720).

13311133031412 is an abundant number, since it is smaller than the sum of its proper divisors (21285410390028).

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

13311133031412 is a wasteful number, since it uses less digits than its factorization.

13311133031412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184162 (or 184157 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 13311133031412 its reverse (21413033111331), we get a palindrome (34724166142743).

The spelling of 13311133031412 in words is "thirteen trillion, three hundred eleven billion, one hundred thirty-three million, thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 83 158 166 237 249 307 316 332 474 498 614 711 747 921 948 996 1228 1422 1494 1842 2763 2844 2988 3684 5526 6557 11052 13114 19671 24253 25481 26228 39342 48506 50962 59013 72759 76443 78684 97012 101924 118026 145518 152886 183683 218277 229329 236052 291036 305772 367366 436554 458658 551049 734732 873108 917316 1102098 1653147 2012999 2204196 3306294 4025998 6038997 6612588 8051996 12077994 14510957 15245689 18116991 24155988 29021914 30491378 36233982 43532871 45737067 56390681 58043828 60982756 72467964 87065742 91474134 112781362 130598613 137211201 169172043 174131484 182948268 225562724 261197226 274422402 338344086 507516129 522394452 548844804 676688172 1015032258 1204409431 2030064516 2408818862 3613228293 4454863799 4680426523 4817637724 7226456586 8909727598 9360853046 10839684879 13364591397 14041279569 14452913172 17819455196 18721706092 21679369758 26729182794 28082559138 40093774191 42123838707 43358739516 53458365588 56165118276 80187548382 84247677414 160375096764 168495354828 369753695317 739507390634 1109261085951 1479014781268 2218522171902 3327783257853 4437044343804 6655566515706 13311133031412