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131080224 = 253111011229
BaseRepresentation
bin1111101000000…
…10000000100000
3100010122120021010
413310002000200
5232024031344
621001300520
73151110042
oct764020040
9303576233
10131080224
1167a9a570
1237a94740
1321206382
14135a1a92
15b7938b9
hex7d02020

131080224 has 96 divisors (see below), whose sum is σ = 379391040. Its totient is φ = 39296000.

The previous prime is 131080193. The next prime is 131080247. The reversal of 131080224 is 422080131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 131080224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106042 + ... + 107270.

It is an arithmetic number, because the mean of its divisors is an integer number (3951990).

Almost surely, 2131080224 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 131080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189695520).

131080224 is an abundant number, since it is smaller than the sum of its proper divisors (248310816).

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

131080224 is a wasteful number, since it uses less digits than its factorization.

131080224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 131080224 is about 11449.0272075841. The cubic root of 131080224 is about 507.9789604199.

The spelling of 131080224 in words is "one hundred thirty-one million, eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1229 1616 2222 2424 2458 3232 3333 3687 4444 4848 4916 6666 7374 8888 9696 9832 13332 13519 14748 17776 19664 26664 27038 29496 35552 39328 40557 53328 54076 58992 81114 106656 108152 117984 124129 162228 216304 248258 324456 372387 432608 496516 648912 744774 993032 1297824 1365419 1489548 1986064 2730838 2979096 3972128 4096257 5461676 5958192 8192514 10923352 11916384 16385028 21846704 32770056 43693408 65540112 131080224