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30130652160 = 210345797107
BaseRepresentation
bin11100000011111011…
…010100010000000000
32212202212010201110000
4130003323110100000
5443201421332120
621501500240000
72114444213640
oct340373242000
985685121400
1030130652160
1111861a70a24
125a0a840000
132ac247b67b
14165b938520
15bb5335990
hex703ed4400

30130652160 has 880 divisors, whose sum is σ = 125832921984. Its totient is φ = 6752305152.

The previous prime is 30130652159. The next prime is 30130652183. The reversal of 30130652160 is 6125603103.

30130652160 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 0 + 652 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 281594827 + ... + 281594933.

Almost surely, 230130652160 is an apocalyptic number.

30130652160 is a gapful number since it is divisible by the number (30) 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 30130652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62916460992).

30130652160 is an abundant number, since it is smaller than the sum of its proper divisors (95702269824).

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

30130652160 is a wasteful number, since it uses less digits than its factorization.

30130652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 30130652160 in words is "thirty billion, one hundred thirty million, six hundred fifty-two thousand, one hundred sixty".