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131231574396 = 2232133723933167
BaseRepresentation
bin111101000111000000…
…0101110100101111100
3110112201202100201002100
41322032000232211330
54122230240340041
6140141552025100
712324016656156
oct1721600564574
9415652321070
10131231574396
115072289120a
1221525232190
13c4b50a2790
1464ccc97ad6
1536310396b6
hex1e8e02e97c

131231574396 has 144 divisors (see below), whose sum is σ = 367165903104. Its totient is φ = 39258805248.

The previous prime is 131231574377. The next prime is 131231574403. The reversal of 131231574396 is 693475132131.

131231574396 is a `hidden beast` number, since 1 + 3 + 12 + 31 + 574 + 39 + 6 = 666.

It is a super-2 number, since 2×1312315743962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41435605 + ... + 41438771.

It is an arithmetic number, because the mean of its divisors is an integer number (2549763216).

Almost surely, 2131231574396 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 131231574396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183582951552).

131231574396 is an abundant number, since it is smaller than the sum of its proper divisors (235934328708).

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

131231574396 is a wasteful number, since it uses less digits than its factorization.

131231574396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5615 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 131231574396 in words is "one hundred thirty-one billion, two hundred thirty-one million, five hundred seventy-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2393 2886 3167 4329 4786 5772 6334 7179 8658 9501 9572 12668 14358 17316 19002 21537 28503 28716 31109 38004 41171 43074 57006 62218 82342 86148 88541 93327 114012 117179 123513 124436 164684 177082 186654 234358 247026 265623 279981 351537 354164 370539 373308 468716 494052 531246 559962 703074 741078 796869 1054611 1062492 1119924 1151033 1406148 1482156 1523327 1593738 2109222 2302066 3046654 3187476 3453099 4218444 4569981 4604132 6093308 6906198 7578631 9139962 10359297 13709943 13812396 15157262 18279924 20718594 22735893 27419886 30314524 41437188 45471786 54839772 68207679 90943572 98522203 136415358 197044406 272830716 280409347 295566609 394088812 560818694 591133218 841228041 886699827 1121637388 1182266436 1682456082 1773399654 2523684123 3364912164 3546799308 3645321511 5047368246 7290643022 10094736492 10935964533 14581286044 21871929066 32807893599 43743858132 65615787198 131231574396