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131401756068 = 2231147199106433
BaseRepresentation
bin111101001100000100…
…1111010110110100100
3110120011121120211110020
41322120021322312210
54123102322143233
6140210511355140
712331154332512
oct1723011726644
9416147524406
10131401756068
11507aa958220
1221572222ab0
13c5114196ab
1465077174b2
153640e539b3
hex1e9827ada4

131401756068 has 96 divisors (see below), whose sum is σ = 343313510400. Its totient is φ = 38775306240.

The previous prime is 131401756061. The next prime is 131401756069. The reversal of 131401756068 is 860657104131.

It is not an unprimeable number, because it can be changed into a prime (131401756061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181380 + ... + 1287812.

It is an arithmetic number, because the mean of its divisors is an integer number (3576182400).

Almost surely, 2131401756068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131401756068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171656755200).

131401756068 is an abundant number, since it is smaller than the sum of its proper divisors (211911754332).

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

131401756068 is a wasteful number, since it uses less digits than its factorization.

131401756068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106697 (or 106695 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 131401756068 in words is "one hundred thirty-one billion, four hundred one million, seven hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 199 282 398 517 564 597 796 1034 1194 1551 2068 2189 2388 3102 4378 6204 6567 8756 9353 13134 18706 26268 28059 37412 56118 102883 106433 112236 205766 212866 308649 319299 411532 425732 617298 638598 1170763 1234596 1277196 2341526 3512289 4683052 5002351 7024578 10004702 14049156 15007053 20009404 21180167 30014106 42360334 55025861 60028212 63540501 84720668 110051722 127081002 165077583 220103444 232981837 254162004 330155166 465963674 660310332 698945511 931927348 995467849 1397891022 1990935698 2795782044 2986403547 3981871396 5972807094 10950146339 11945614188 21900292678 32850439017 43800585356 65700878034 131401756068