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131010192 = 24323767367
BaseRepresentation
bin1111100111100…
…00111010010000
3100010112000012100
413303300322100
5232014311232
621000000400
73150365625
oct763607220
9303460170
10131010192
1167a51995
1237a60100
13211b0531
141358434c
15b77cc7c
hex7cf0e90

131010192 has 120 divisors (see below), whose sum is σ = 383217536. Its totient is φ = 41741568.

The previous prime is 131010179. The next prime is 131010227. The reversal of 131010192 is 291010131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356793 + ... + 357159.

Almost surely, 2131010192 is an apocalyptic number.

131010192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131010192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191608768).

131010192 is an abundant number, since it is smaller than the sum of its proper divisors (252207344).

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

131010192 is a wasteful number, since it uses less digits than its factorization.

131010192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 131010192 is about 11445.9683731871. The cubic root of 131010192 is about 507.8884786298. Note that the first 3 decimals are identical.

The spelling of 131010192 in words is "one hundred thirty-one million, ten thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 67 72 74 111 134 144 148 201 222 268 296 333 367 402 444 536 592 603 666 734 804 888 1072 1101 1206 1332 1468 1608 1776 2202 2412 2479 2664 2936 3216 3303 4404 4824 4958 5328 5872 6606 7437 8808 9648 9916 13212 13579 14874 17616 19832 22311 24589 26424 27158 29748 39664 40737 44622 49178 52848 54316 59496 73767 81474 89244 98356 108632 118992 122211 147534 162948 178488 196712 217264 221301 244422 295068 325896 356976 393424 442602 488844 590136 651792 885204 909793 977688 1180272 1770408 1819586 1955376 2729379 3540816 3639172 5458758 7278344 8188137 10917516 14556688 16376274 21835032 32752548 43670064 65505096 131010192