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30147600120 = 23351124189569
BaseRepresentation
bin11100000100111011…
…111101111011111000
32212211001000202200020
4130010323331323320
5443220241200440
621503303410440
72115041241621
oct340473757370
985731022606
1030147600120
1111870597200
125a14453a20
132ac5b33851
14165dcaaa48
15bb6a823d0
hex704efdef8

30147600120 has 384 divisors, whose sum is σ = 103162248000. Its totient is φ = 7037747200.

The previous prime is 30147600071. The next prime is 30147600121. The reversal of 30147600120 is 2100674103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30147600121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52983196 + ... + 52983764.

Almost surely, 230147600120 is an apocalyptic number.

30147600120 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 30147600120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51581124000).

30147600120 is an abundant number, since it is smaller than the sum of its proper divisors (73014647880).

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

30147600120 is a wasteful number, since it uses less digits than its factorization.

30147600120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 30147600120 in words is "thirty billion, one hundred forty-seven million, six hundred thousand, one hundred twenty".