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30301132032 = 283231424243
BaseRepresentation
bin11100001110000101…
…101001010100000000
32220012201220222212100
4130032011221110000
5444024042211112
621530430230400
72121614241543
oct341605512400
986181828770
1030301132032
111193a220a86
125a57955400
132b1b89b232
14167643485a
15bc52ad2dc
hex70e169500

30301132032 has 108 divisors (see below), whose sum is σ = 90184092544. Its totient is φ = 9774535680.

The previous prime is 30301132021. The next prime is 30301132087. The reversal of 30301132032 is 23023110303.

30301132032 is a `hidden beast` number, since 303 + 0 + 11 + 320 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30301131996 and 30301132014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140698 + ... + 283545.

Almost surely, 230301132032 is an apocalyptic number.

30301132032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30301132032 is an abundant number, since it is smaller than the sum of its proper divisors (59882960512).

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

30301132032 is a wasteful number, since it uses less digits than its factorization.

30301132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424296 (or 424279 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30301132032 its reverse (23023110303), we get a palindrome (53324242335).

The spelling of 30301132032 in words is "thirty billion, three hundred one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 11904 17856 23808 35712 71424 424243 848486 1272729 1696972 2545458 3393944 3818187 5090916 6787888 7636374 10181832 13151533 13575776 15272748 20363664 26303066 27151552 30545496 39454599 40727328 52606132 54303104 61090992 78909198 81454656 105212264 108606208 118363797 122181984 157818396 162909312 210424528 236727594 244363968 315636792 325818624 420849056 473455188 488727936 631273584 841698112 946910376 977455872 1262547168 1683396224 1893820752 2525094336 3366792448 3787641504 5050188672 7575283008 10100377344 15150566016 30301132032