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131201410120400 = 2452470369743467
BaseRepresentation
bin11101110101001110110101…
…011100011011101011010000
3122012112201202212002221021202
4131311032311130123223100
5114144100441442323100
61143013032402210332
736430663152220634
oct3565166534335320
9565481685087252
10131201410120400
1138894229665684
121286b8669539a8
135829317052c59
142458279ab0dc4
151027cb2e777d5
hex7753b571bad0

131201410120400 has 60 divisors (see below), whose sum is σ = 315278415806592. Its totient is φ = 52469404341120.

The previous prime is 131201410120397. The next prime is 131201410120447. The reversal of 131201410120400 is 4021014102131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32990534 + ... + 36752933.

Almost surely, 2131201410120400 is an apocalyptic number.

131201410120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201410120400 is an abundant number, since it is smaller than the sum of its proper divisors (184077005686192).

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

131201410120400 is a wasteful number, since it uses less digits than its factorization.

131201410120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69748188 (or 69748177 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131201410120400 its reverse (4021014102131), we get a palindrome (135222424222531).

The spelling of 131201410120400 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred ten million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4703 9406 18812 23515 37624 47030 75248 94060 117575 188120 235150 376240 470300 940600 1881200 69743467 139486934 278973868 348717335 557947736 697434670 1115895472 1394869340 1743586675 2789738680 3487173350 5579477360 6974346700 13948693400 27897386800 328003525301 656007050602 1312014101204 1640017626505 2624028202408 3280035253010 5248056404816 6560070506020 8200088132525 13120141012040 16400176265050 26240282024080 32800352530100 65600705060200 131201410120400