Search a number
-
+
81401382765131 = 111317299911165299
BaseRepresentation
bin10010100000100010111100…
…100000010000001001001011
3101200012220012022202120021012
4102200202330200100021023
541132140012441441011
6445043140132434135
723101025102101532
oct2240427440201113
9350186168676235
1081401382765131
1123a34150494330
12916817247894b
13365616b091bc0
141615bc2aa7319
15962684186a8b
hex4a08bc81024b

81401382765131 has 32 divisors (see below), whose sum is σ = 101291601600000. Its totient is φ = 64269241735680.

The previous prime is 81401382765127. The next prime is 81401382765139. The reversal of 81401382765131 is 13156728310418.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 81401382765131 - 22 = 81401382765127 is a prime.

It is a super-2 number, since 2×814013827651312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 81401382765131.

It is not an unprimeable number, because it can be changed into a prime (81401382765139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707920 + ... + 12873218.

It is an arithmetic number, because the mean of its divisors is an integer number (3165362550000).

Almost surely, 281401382765131 is an apocalyptic number.

81401382765131 is a deficient number, since it is larger than the sum of its proper divisors (19890218834869).

81401382765131 is a wasteful number, since it uses less digits than its factorization.

81401382765131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11168339.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 81401382765131 in words is "eighty-one trillion, four hundred one billion, three hundred eighty-two million, seven hundred sixty-five thousand, one hundred thirty-one".

Divisors: 1 11 13 17 143 187 221 2431 2999 32989 38987 50983 428857 560813 662779 7290569 11165299 122818289 145148887 189810083 1596637757 2087910913 2467531079 27142841869 33484731701 368332048711 435301512113 569240438917 4788316633243 6261644828087 7400125705921 81401382765131