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131012240404000 = 255379741095433
BaseRepresentation
bin11101110010011110101010…
…000011001110111000100000
3122011212122111021220122220011
4131302132222003032320200
5114133001032020412000
61142350105314454304
736411215310161524
oct3562365203167040
9564778437818804
10131012240404000
1138820a8525388a
121283b072294394
13581452a748217
14244d052121d84
151022de071b2ba
hex7727aa0cee20

131012240404000 has 96 divisors (see below), whose sum is σ = 322300968430896. Its totient is φ = 52339142195200.

The previous prime is 131012240403973. The next prime is 131012240404033. The reversal of 131012240404000 is 404042210131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5489705232144 + 125522535171856 = 2343012^2 + 11203684^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17359717 + ... + 23735716.

Almost surely, 2131012240404000 is an apocalyptic number.

131012240404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012240404000 is an abundant number, since it is smaller than the sum of its proper divisors (191288728026896).

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

131012240404000 is an equidigital number, since it uses as much as digits as its factorization.

131012240404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41096255 (or 41096237 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 131012240404000 its reverse (404042210131), we get a palindrome (131416282614131).

The spelling of 131012240404000 in words is "one hundred thirty-one trillion, twelve billion, two hundred forty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 797 800 1000 1594 2000 3188 3985 4000 6376 7970 12752 15940 19925 25504 31880 39850 63760 79700 99625 127520 159400 199250 318800 398500 637600 797000 1594000 3188000 41095433 82190866 164381732 205477165 328763464 410954330 657526928 821908660 1027385825 1315053856 1643817320 2054771650 3287634640 4109543300 5136929125 6575269280 8219086600 10273858250 16438173200 20547716500 32753060101 32876346400 41095433000 65506120202 82190866000 131012240404 163765300505 164381732000 262024480808 327530601010 524048961616 655061202020 818826502525 1048097923232 1310122404040 1637653005050 2620244808080 3275306010100 4094132512625 5240489616160 6550612020200 8188265025250 13101224040400 16376530050500 26202448080800 32753060101000 65506120202000 131012240404000