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131423200321311 = 32317110091657469
BaseRepresentation
bin11101111000011101011001…
…001010111001111100011111
3122020022221020210111112000100
4131320131121022321330133
5114211214203240240221
61143302552412032143
736453004263634323
oct3570353112717437
9566287223445010
10131423200321311
113896a2a2427288
12128a6843a62653
1358442018b8822
142464cb9b1d983
15102d9443d7926
hex7787592b9f1f

131423200321311 has 48 divisors (see below), whose sum is σ = 198737128212480. Its totient is φ = 83586536712000.

The previous prime is 131423200321291. The next prime is 131423200321321. The reversal of 131423200321311 is 113123002324131.

131423200321311 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 3 + 20 + 0 + 321 + 311 = 666.

It is not a de Polignac number, because 131423200321311 - 211 = 131423200319263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131423200321321) 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 47 ways as a sum of consecutive naturals, for example, 199563885 + ... + 200221353.

It is an arithmetic number, because the mean of its divisors is an integer number (4140356837760).

Almost surely, 2131423200321311 is an apocalyptic number.

131423200321311 is a deficient number, since it is larger than the sum of its proper divisors (67313927891169).

131423200321311 is a wasteful number, since it uses less digits than its factorization.

131423200321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667668 (or 667665 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131423200321311 its reverse (113123002324131), we get a palindrome (244546202645442).

The spelling of 131423200321311 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, two hundred million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 31 71 93 213 279 639 2201 6603 10091 19809 30273 90819 312821 657469 716461 938463 1972407 2149383 2815389 5917221 6448149 20381539 22210291 46680299 61144617 66630873 140040897 183433851 199892619 420122691 1447089269 4341267807 6634519679 13023803421 19903559037 59710677111 205670110049 471050897209 617010330147 1413152691627 1851030990441 4239458074881 14602577813479 43807733440437 131423200321311