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131320132032 = 26314916727487
BaseRepresentation
bin111101001001101001…
…0100011000111000000
3110112221220222220022210
41322103102203013000
54122420423211112
6140154434102120
712326143463535
oct1722322430700
9415856886283
10131320132032
1150768877941
122154aa1a940
13c4ca53b04b
1464da94ad8c
153638bcdb3c
hex1e934a31c0

131320132032 has 112 divisors (see below), whose sum is σ = 351890380800. Its totient is φ = 43217667072.

The previous prime is 131320132007. The next prime is 131320132051. The reversal of 131320132032 is 230231023131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4763793 + ... + 4791279.

It is an arithmetic number, because the mean of its divisors is an integer number (3141878400).

Almost surely, 2131320132032 is an apocalyptic number.

131320132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131320132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175945190400).

131320132032 is an abundant number, since it is smaller than the sum of its proper divisors (220570248768).

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

131320132032 is a wasteful number, since it uses less digits than its factorization.

131320132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27818 (or 27808 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131320132032 its reverse (230231023131), we get a palindrome (361551155163).

The spelling of 131320132032 in words is "one hundred thirty-one billion, three hundred twenty million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 167 192 298 334 447 501 596 668 894 1002 1192 1336 1788 2004 2384 2672 3576 4008 4768 5344 7152 8016 9536 10688 14304 16032 24883 27487 28608 32064 49766 54974 74649 82461 99532 109948 149298 164922 199064 219896 298596 329844 398128 439792 597192 659688 796256 879584 1194384 1319376 1592512 1759168 2388768 2638752 4095563 4590329 4777536 5277504 8191126 9180658 12286689 13770987 16382252 18361316 24573378 27541974 32764504 36722632 49146756 55083948 65529008 73445264 98293512 110167896 131058016 146890528 196587024 220335792 262116032 293781056 393174048 440671584 683959021 786348096 881343168 1367918042 2051877063 2735836084 4103754126 5471672168 8207508252 10943344336 16415016504 21886688672 32830033008 43773377344 65660066016 131320132032