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133031642506137 = 3229255273179999
BaseRepresentation
bin11110001111110111010111…
…110010111010001110011001
3122110000200220220020102102200
4132033313113302322032121
5114414042300440144022
61150533520510120413
740010135054631204
oct3617672762721631
9573020826212380
10133031642506137
113942a448081121
1212b0650bab0109
13592caa38463ab
1424bcaa16da93b
15105a6d1c0ebac
hex78fdd7cba399

133031642506137 has 36 divisors (see below), whose sum is σ = 199047469920000. Its totient is φ = 85614043114656.

The previous prime is 133031642506129. The next prime is 133031642506183. The reversal of 133031642506137 is 731605246130331.

133031642506137 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 1 + 6 + 4 + 2 + 506 + 137 = 666.

It is not a de Polignac number, because 133031642506137 - 23 = 133031642506129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133031642506092 and 133031642506101.

It is not an unprimeable number, because it can be changed into a prime (133031642506187) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40243864 + ... + 43423862.

Almost surely, 2133031642506137 is an apocalyptic number.

It is an amenable number.

133031642506137 is a deficient number, since it is larger than the sum of its proper divisors (66015827413863).

133031642506137 is a wasteful number, since it uses less digits than its factorization.

133031642506137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185590 (or 3185558 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

Adding to 133031642506137 its reverse (731605246130331), we get a palindrome (864636888636468).

The spelling of 133031642506137 in words is "one hundred thirty-three trillion, thirty-one billion, six hundred forty-two million, five hundred six thousand, one hundred thirty-seven".

Divisors: 1 3 9 29 87 261 841 2523 5527 7569 16581 49743 160283 480849 1442547 3179999 4648207 9539997 13944621 28619991 41833863 92219971 276659913 829979739 2674379159 8023137477 17575854473 24069412431 52727563419 158182690257 509699779717 1529099339151 4587298017453 14781293611793 44343880835379 133031642506137