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131332132296 = 23335999110399
BaseRepresentation
bin111101001010000000…
…0010100110111001000
3110112222202120120121000
41322110000110313020
54122432011213141
6140155543215000
712326350463661
oct1722400246710
9415882516530
10131332132296
1150774623912
1221552a47460
13c4ccb801b1
1464dc392368
153639c9e5b6
hex1e94014dc8

131332132296 has 128 divisors (see below), whose sum is σ = 371404800000. Its totient is φ = 42987827520.

The previous prime is 131332132279. The next prime is 131332132313. The reversal of 131332132296 is 692231233131.

131332132296 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 321 + 322 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (131332132279) and next prime (131332132313).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131332132296.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12624105 + ... + 12634503.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600000).

Almost surely, 2131332132296 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 131332132296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400000).

131332132296 is an abundant number, since it is smaller than the sum of its proper divisors (240072667704).

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

131332132296 is a wasteful number, since it uses less digits than its factorization.

131332132296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11464 (or 11454 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The spelling of 131332132296 in words is "one hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 991 1062 1416 1593 1982 2124 2973 3186 3964 4248 5946 6372 7928 8919 10399 11892 12744 17838 20798 23784 26757 31197 35676 41596 53514 58469 62394 71352 83192 93591 107028 116938 124788 175407 187182 214056 233876 249576 280773 350814 374364 467752 526221 561546 613541 701628 748728 1052442 1123092 1227082 1403256 1578663 1840623 2104884 2246184 2454164 3157326 3681246 4209768 4908328 5521869 6314652 7362492 10305409 11043738 12629304 14724984 16565607 20610818 22087476 30916227 33131214 41221636 44174952 61832454 66262428 82443272 92748681 123664908 132524856 185497362 247329816 278246043 370994724 556492086 608019131 741989448 1112984172 1216038262 1824057393 2225968344 2432076524 3648114786 4864153048 5472172179 7296229572 10944344358 14592459144 16416516537 21888688716 32833033074 43777377432 65666066148 131332132296