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120130915392 = 2632919226943
BaseRepresentation
bin110111111100001011…
…1000100110001000000
3102111002010111210122200
41233320113010301000
53432012003243032
6131104250233200
711451645634635
oct1577027046100
9374063453580
10120130915392
1146a46851864
121b347725800
13b4363636b7
145b588a418c
1531d171547c
hex1bf85c4c40

120130915392 has 84 divisors (see below), whose sum is σ = 344709780480. Its totient is φ = 39999889152.

The previous prime is 120130915391. The next prime is 120130915393. The reversal of 120130915392 is 293519031021.

120130915392 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 30 + 91 + 539 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (120130915391) and next prime (120130915393).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120130915391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415873 + ... + 642815.

Almost surely, 2120130915392 is an apocalyptic number.

120130915392 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 120130915392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172354890240).

120130915392 is an abundant number, since it is smaller than the sum of its proper divisors (224578865088).

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

120130915392 is a wasteful number, since it uses less digits than its factorization.

120130915392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227880 (or 227867 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 120130915392 in words is "one hundred twenty billion, one hundred thirty million, nine hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 919 1838 2757 3676 5514 7352 8271 11028 14704 16542 22056 29408 33084 44112 58816 66168 88224 132336 176448 226943 264672 453886 529344 680829 907772 1361658 1815544 2042487 2723316 3631088 4084974 5446632 7262176 8169948 10893264 14524352 16339896 21786528 32679792 43573056 65359584 130719168 208560617 417121234 625681851 834242468 1251363702 1668484936 1877045553 2502727404 3336969872 3754091106 5005454808 6673939744 7508182212 10010909616 13347879488 15016364424 20021819232 30032728848 40043638464 60065457696 120130915392