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131330100031301 = 23103223895127773
BaseRepresentation
bin11101110111000110101011…
…111101011110111101000101
3122020000000221110212202112002
4131313012223331132331011
5114203203021102000201
61143152114241435045
736443200210344353
oct3567065375367505
9566000843782462
10131330100031301
1138933867776446
12128907a093ba85
1358384b5699522
1424605a71907d3
15102b2e5ca676b
hex7771abf5ef45

131330100031301 has 32 divisors (see below), whose sum is σ = 139011619848192. Its totient is φ = 123824339179200.

The previous prime is 131330100031267. The next prime is 131330100031313. The reversal of 131330100031301 is 103130001033131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131330100031301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330106031301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4728683051 + ... + 4728710823.

It is an arithmetic number, because the mean of its divisors is an integer number (4344113120256).

Almost surely, 2131330100031301 is an apocalyptic number.

It is an amenable number.

131330100031301 is a deficient number, since it is larger than the sum of its proper divisors (7681519816891).

131330100031301 is a wasteful number, since it uses less digits than its factorization.

131330100031301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37073.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131330100031301 its reverse (103130001033131), we get a palindrome (234460101064432).

The spelling of 131330100031301 in words is "one hundred thirty-one trillion, three hundred thirty billion, one hundred million, thirty-one thousand, three hundred one".

Divisors: 1 23 103 223 2369 5129 8951 22969 27773 205873 528287 638779 921953 1996073 2860619 6193379 21204919 45909679 65794237 142447717 205595519 248596123 637918037 4728696937 5717710829 14672114851 25605400669 55436935429 588924215387 1275049514867 5710004349187 131330100031301