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131011097518444 = 2211135311083389923
BaseRepresentation
bin11101110010011101100101…
…111011011110000101101100
3122011212112112122101001122111
4131302131211323132011230
5114132441211431042234
61142345400050453404
736411145061621623
oct3562354573360554
9564775478331574
10131011097518444
1138820549107a70
121283a9b3594264
1358143a7a30490
14244cd8441c6ba
151022d75213664
hex772765ede16c

131011097518444 has 96 divisors (see below), whose sum is σ = 274459056286464. Its totient is φ = 53927522737920.

The previous prime is 131011097518369. The next prime is 131011097518447. The reversal of 131011097518444 is 444815790110131.

It is a super-2 number, since 2×1310110975184442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131011097518447) 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, 335797267 + ... + 336187189.

It is an arithmetic number, because the mean of its divisors is an integer number (2858948502984).

Almost surely, 2131011097518444 is an apocalyptic number.

It is an amenable number.

131011097518444 is an abundant number, since it is smaller than the sum of its proper divisors (143447958768020).

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

131011097518444 is a wasteful number, since it uses less digits than its factorization.

131011097518444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401087 (or 401085 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 131011097518444 in words is "one hundred thirty-one trillion, eleven billion, ninety-seven million, five hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 4 11 13 22 26 44 52 53 106 143 212 286 572 583 689 1166 1378 2332 2756 7579 11083 15158 22166 30316 44332 121913 144079 243826 288158 389923 487652 576316 587399 779846 1174798 1559692 1584869 2349596 3169738 4289153 5068999 6339476 6461389 7636187 8578306 10137998 12922778 15272374 17156612 20275996 20665919 25845556 30544748 41331838 55758989 82663676 83998057 111517978 167996114 223035956 227325109 268656947 335992228 454650218 537313894 909300436 1074627788 2955226417 4321516609 5910452834 8643033218 11820905668 17286066436 47536682699 56179715917 95073365398 112359431834 190146730796 224718863668 229040380277 458080760554 617976875087 916161521108 1235953750174 2471907500348 2519444183047 2977524943601 5038888366094 5955049887202 10077776732188 11910099774404 32752774379611 65505548759222 131011097518444