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130121992 = 237111316249
BaseRepresentation
bin1111100000110…
…00000100001000
3100001211212211001
413300120010020
5231302400432
620524544344
73140006260
oct760300410
9301755731
10130121992
11674a5640
12376b20b4
1320c5c180
14133d27a0
15b6549e7
hex7c18108

130121992 has 64 divisors (see below), whose sum is σ = 327600000. Its totient is φ = 46794240.

The previous prime is 130121977. The next prime is 130121993. The reversal of 130121992 is 299121031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 130121992.

It is not an unprimeable number, because it can be changed into a prime (130121993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 16132.

It is an arithmetic number, because the mean of its divisors is an integer number (5118750).

Almost surely, 2130121992 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 130121992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800000).

130121992 is an abundant number, since it is smaller than the sum of its proper divisors (197478008).

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

130121992 is a wasteful number, since it uses less digits than its factorization.

130121992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16286 (or 16282 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 130121992 is about 11407.1026996341. The cubic root of 130121992 is about 506.7381105010.

The spelling of 130121992 in words is "one hundred thirty million, one hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 16249 32498 64996 113743 129992 178739 211237 227486 357478 422474 454972 714956 844948 909944 1251173 1429912 1478659 1689896 2323607 2502346 2957318 4647214 5004692 5914636 9294428 10009384 11829272 16265249 18588856 32530498 65060996 130121992