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131734423053 = 321719234674219
BaseRepresentation
bin111101010101111111…
…0111100011000001101
3110121000210120001202200
41322223332330120031
54124243003014203
6140303513512113
712342334056222
oct1725376743015
9417023501680
10131734423053
1150960713912
1221645712639
13c56531436c
146539991949
1536602669a3
hex1eabfbc60d

131734423053 has 96 divisors (see below), whose sum is σ = 221827507200. Its totient is φ = 74723793408.

The previous prime is 131734423013. The next prime is 131734423057. The reversal of 131734423053 is 350324437131.

131734423053 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 344 + 2 + 305 + 3 = 666.

It is not a de Polignac number, because 131734423053 - 29 = 131734422541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131734422999 and 131734423017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131734423057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31221978 + ... + 31226196.

It is an arithmetic number, because the mean of its divisors is an integer number (2310703200).

Almost surely, 2131734423053 is an apocalyptic number.

It is an amenable number.

131734423053 is a deficient number, since it is larger than the sum of its proper divisors (90093084147).

131734423053 is a wasteful number, since it uses less digits than its factorization.

131734423053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 131734423053 in words is "one hundred thirty-one billion, seven hundred thirty-four million, four hundred twenty-three thousand, fifty-three".

Divisors: 1 3 9 17 19 23 51 57 69 153 171 207 323 391 437 467 969 1173 1311 1401 2907 3519 3933 4203 4219 7429 7939 8873 10741 12657 22287 23817 26619 32223 37971 66861 71451 71723 79857 80161 96669 97037 150841 182597 204079 215169 240483 291111 452523 547791 612237 645507 721449 873333 1357569 1362737 1643373 1649629 1836711 1843703 1970273 3469343 4088211 4948887 5531109 5910819 10408029 12264633 14846661 16593327 17732457 31224087 31342951 33494641 37435187 45316279 94028853 100483923 112305561 135948837 282086559 301451769 336916683 407846511 636398179 770376743 861009301 1909194537 2311130229 2583027903 5727583611 6933390687 7749083709 14637158117 43911474351 131734423053