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131031103200 = 2535254596293
BaseRepresentation
bin111101000001000001…
…1111111011011100000
3110112012210010201022020
41322002003333123200
54121322430300300
6140110031141440
712316034000064
oct1720203773340
9415183121266
10131031103200
115062a707238
122148a074880
13c4826b1b7a
1464b03d1aa4
15361d63a8a0
hex1e820ff6e0

131031103200 has 72 divisors (see below), whose sum is σ = 426506248728. Its totient is φ = 34941626880.

The previous prime is 131031103157. The next prime is 131031103219. The reversal of 131031103200 is 2301130131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131031103200.

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 11 ways as a sum of consecutive naturals, for example, 27295747 + ... + 27300546.

It is an arithmetic number, because the mean of its divisors is an integer number (5923697899).

Almost surely, 2131031103200 is an apocalyptic number.

131031103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031103200 is an abundant number, since it is smaller than the sum of its proper divisors (295475145528).

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

131031103200 is a wasteful number, since it uses less digits than its factorization.

131031103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54596316 (or 54596303 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131031103200 its reverse (2301130131), we get a palindrome (133332233331).

The spelling of 131031103200 in words is "one hundred thirty-one billion, thirty-one million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 54596293 109192586 163788879 218385172 272981465 327577758 436770344 545962930 655155516 818944395 873540688 1091925860 1310311032 1364907325 1637888790 1747081376 2183851720 2620622064 2729814650 3275777580 4094721975 4367703440 5241244128 5459629300 6551555160 8189443950 8735406880 10919258600 13103110320 16378887900 21838517200 26206220640 32757775800 43677034400 65515551600 131031103200