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131431230134325 = 325211257206628511
BaseRepresentation
bin11101111000100100110111…
…110010001101100000110101
3122020100200222102000021200100
4131320210313302031200311
5114211332124403244300
61143310401254504313
736453410256134022
oct3570446762154065
9566320872007610
10131431230134325
1138972743007690
12128a8305065099
135844bb1369784
14246543c348549
15102dc64321700
hex778937c8d835

131431230134325 has 72 divisors (see below), whose sum is σ = 257807914880256. Its totient is φ = 63476278272000.

The previous prime is 131431230134279. The next prime is 131431230134341. The reversal of 131431230134325 is 523431032134131.

131431230134325 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 1 + 2 + 301 + 343 + 2 + 5 = 666.

It is not a de Polignac number, because 131431230134325 - 217 = 131431230003253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131431230134325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102678181 + ... + 103950330.

It is an arithmetic number, because the mean of its divisors is an integer number (3580665484448).

Almost surely, 2131431230134325 is an apocalyptic number.

131431230134325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131431230134325 is a deficient number, since it is larger than the sum of its proper divisors (126376684745931).

131431230134325 is a wasteful number, since it uses less digits than its factorization.

131431230134325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206628795 (or 206628787 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 131431230134325 its reverse (523431032134131), we get a palindrome (654862262268456).

The spelling of 131431230134325 in words is "one hundred thirty-one trillion, four hundred thirty-one billion, two hundred thirty million, one hundred thirty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 257 275 495 771 825 1285 2313 2475 2827 3855 6425 8481 11565 14135 19275 25443 42405 57825 70675 127215 212025 636075 206628511 619885533 1033142555 1859656599 2272913621 3099427665 5165712775 6818740863 9298282995 11364568105 15497138325 20456222589 34093704315 46491414975 53103527327 56822840525 102281112945 159310581981 170468521575 265517636635 477931745943 511405564725 584138800597 796552909905 1327588183175 1752416401791 2389658729715 2920694002985 3982764549525 5257249205373 8762082008955 11948293648575 14603470014925 26286246026865 43810410044775 131431230134325