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13155241211451 = 32616718111631699
BaseRepresentation
bin1011111101101111000101…
…1110101011011000111011
31201120121222101020011121200
42333123301132223120323
53211013413222231301
643551233454305243
72525302066206453
oct277336136533073
951517871204550
1013155241211451
114212119786659
1215856a77b8223
137456c304c811
14336a07906d63
1517c2e8467c86
hexbf6f17ab63b

13155241211451 has 96 divisors (see below), whose sum is σ = 19738640812800. Its totient is φ = 8438451436800.

The previous prime is 13155241211419. The next prime is 13155241211471. The reversal of 13155241211451 is 15411214255131.

It is a happy number.

13155241211451 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 524 + 12 + 114 + 5 + 1 = 666.

It is not a de Polignac number, because 13155241211451 - 25 = 13155241211419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13155241211471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7742931000 + ... + 7742932698.

It is an arithmetic number, because the mean of its divisors is an integer number (205610841800).

Almost surely, 213155241211451 is an apocalyptic number.

13155241211451 is a deficient number, since it is larger than the sum of its proper divisors (6583399601349).

13155241211451 is a wasteful number, since it uses less digits than its factorization.

13155241211451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3174 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

Adding to 13155241211451 its reverse (15411214255131), we get a palindrome (28566455466582).

The spelling of 13155241211451 in words is "thirteen trillion, one hundred fifty-five billion, two hundred forty-one million, two hundred eleven thousand, four hundred fifty-one".

Divisors: 1 3 9 61 67 181 183 201 543 549 603 1163 1629 1699 3489 4087 5097 10467 11041 12127 12261 15291 33123 36381 36783 70943 77921 99369 103639 109143 113833 210503 212829 233763 307519 310917 341499 631509 638487 701289 739747 922557 932751 1024497 1894527 1975937 2219241 2767671 4753181 5927811 6657723 6943813 12840683 14103701 14259543 17783433 18758659 20603773 20831439 38522049 42311103 42778629 56275977 61811319 62494317 115566147 120532157 126933309 132387779 168827931 185433957 357644597 361596471 397163337 860325761 1072933791 1084789413 1191490011 1256830153 2580977283 3218801373 3770490459 7742931849 8075654519 11311471377 21816320417 23962187999 24226963557 65448961251 71886563997 72680890671 196346883753 215659691991 1461693467939 4385080403817 13155241211451