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133231432504105 = 51353102137878409
BaseRepresentation
bin11110010010110001011100…
…001101010001001100101001
3122110201210121121100220022001
4132102301130031101030221
5114430330433210112410
61151205401455131001
740030440045612325
oct3622613415211451
9573653547326261
10133231432504105
11394a7151348721
1212b39189213a61
1359458934b87c0
1424c8615954985
1510609c6a0133a
hex792c5c351329

133231432504105 has 32 divisors (see below), whose sum is σ = 175596430050720. Its totient is φ = 96435396495360.

The previous prime is 133231432504099. The next prime is 133231432504123. The reversal of 133231432504105 is 501405234132331.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 70882389812224 + 62349042691881 = 8419168^2 + 7896141^2 .

It is not a de Polignac number, because 133231432504105 - 25 = 133231432504073 is a prime.

It is a super-2 number, since 2×1332314325041052 (a number of 29 digits) contains 22 as substring.

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, 15421860 + ... + 22456549.

It is an arithmetic number, because the mean of its divisors is an integer number (5487388439085).

Almost surely, 2133231432504105 is an apocalyptic number.

It is an amenable number.

133231432504105 is a deficient number, since it is larger than the sum of its proper divisors (42364997546615).

133231432504105 is a wasteful number, since it uses less digits than its factorization.

133231432504105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37879501.

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 133231432504105 its reverse (501405234132331), we get a palindrome (634636666636436).

The spelling of 133231432504105 in words is "one hundred thirty-three trillion, two hundred thirty-one billion, four hundred thirty-two million, five hundred four thousand, one hundred five".

Divisors: 1 5 13 53 65 265 689 1021 3445 5105 13273 54113 66365 270565 703469 3517345 37878409 189392045 492419317 2007555677 2462096585 10037778385 26098223801 38673855589 130491119005 193369277945 502760122657 2049714346217 2513800613285 10248571731085 26646286500821 133231432504105