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131522123034 = 2345926352321
BaseRepresentation
bin111101001111101010…
…1000101010100011010
3110120111000002002220000
41322133111011110122
54123324130414114
6140230451313430
712334145412561
oct1723725052432
9416430062800
10131522123034
115086189a755
12215a65ab876
13c530341653
1465196cabd8
15364b7cce09
hex1e9f54551a

131522123034 has 80 divisors (see below), whose sum is σ = 300847314240. Its totient is φ = 42932954880.

The previous prime is 131522123003. The next prime is 131522123039. The reversal of 131522123034 is 430321225131.

131522123034 is a `hidden beast` number, since 13 + 1 + 522 + 123 + 0 + 3 + 4 = 666.

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 = 131522122989 and 131522123007.

It is not an unprimeable number, because it can be changed into a prime (131522123039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2487594 + ... + 2539914.

It is an arithmetic number, because the mean of its divisors is an integer number (3760591428).

Almost surely, 2131522123034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131522123034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150423657120).

131522123034 is an abundant number, since it is smaller than the sum of its proper divisors (169325191206).

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

131522123034 is a wasteful number, since it uses less digits than its factorization.

131522123034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52657 (or 52648 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131522123034 its reverse (430321225131), we get a palindrome (561843348165).

The spelling of 131522123034 in words is "one hundred thirty-one billion, five hundred twenty-two million, one hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 263 354 526 531 789 1062 1578 1593 2367 3186 4734 4779 7101 9558 14202 15517 21303 31034 42606 46551 52321 93102 104642 139653 156963 279306 313926 418959 470889 837918 941778 1256877 1412667 2513754 2825334 3086939 4238001 6173878 8476002 9260817 13760423 18521634 27520846 27782451 41281269 55564902 82562538 83347353 123843807 166694706 247687614 250042059 371531421 500084118 743062842 811864957 1114594263 1623729914 2229188526 2435594871 4871189742 7306784613 14613569226 21920353839 43840707678 65761061517 131522123034