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131104023032034 = 23313318175869751
BaseRepresentation
bin11101110011110100001000…
…101110001011000011100010
3122012012102101210010020222000
4131303310020232023003202
5114141002014344011114
61142500205015024430
736420644623510413
oct3563641056130342
9565172353106860
10131104023032034
11388569a4143788
1212854a0806b116
135820096987390
14245367ba9380a
1510254b331de09
hex773d08b8b0e2

131104023032034 has 64 divisors (see below), whose sum is σ = 313763132148480. Its totient is φ = 40338424656000.

The previous prime is 131104023032033. The next prime is 131104023032069. The reversal of 131104023032034 is 430230320401131.

It is a happy number.

131104023032034 is a `hidden beast` number, since 1 + 3 + 1 + 104 + 0 + 230 + 320 + 3 + 4 = 666.

It is a super-3 number, since 3×1311040230320343 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131104023031989 and 131104023032007.

It is not an unprimeable number, because it can be changed into a prime (131104023032033) 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 31 ways as a sum of consecutive naturals, for example, 19400659 + ... + 25270409.

It is an arithmetic number, because the mean of its divisors is an integer number (4902548939820).

Almost surely, 2131104023032034 is an apocalyptic number.

131104023032034 is an abundant number, since it is smaller than the sum of its proper divisors (182659109116446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131104023032034 is a wasteful number, since it uses less digits than its factorization.

131104023032034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901592 (or 5901586 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131104023032034 its reverse (430230320401131), we get a palindrome (561334343433165).

The spelling of 131104023032034 in words is "one hundred thirty-one trillion, one hundred four billion, twenty-three million, thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 31817 63634 95451 190902 286353 413621 572706 827242 859059 1240863 1718118 2481726 3722589 5869751 7445178 11167767 11739502 17609253 22335534 35218506 52827759 76306763 105655518 152613526 158483277 228920289 316966554 457840578 686760867 1373521734 2060282601 4120565202 186757867567 373515735134 560273602701 1120547205402 1680820808103 2427852278371 3361641616206 4855704556742 5042462424309 7283556835113 10084924848618 14567113670226 21850670505339 43701341010678 65552011516017 131104023032034