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153110120460 = 223511231985031
BaseRepresentation
bin1000111010011000010…
…0110000100000001100
3112122012111201000002020
42032212010300200030
510002032142323320
6154200545130140
714030132356563
oct2164604604014
9478174630066
10153110120460
1159a2a742740
1225810329950
1311590a0bb1b
1475a6860bda
153eb1b76940
hex23a613080c

153110120460 has 48 divisors (see below), whose sum is σ = 467681824512. Its totient is φ = 37117604800.

The previous prime is 153110120459. The next prime is 153110120473. The reversal of 153110120460 is 64021011351.

It is a happy number.

It is a super-2 number, since 2×1531101204602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153110120460.

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 15 ways as a sum of consecutive naturals, for example, 115991856 + ... + 115993175.

It is an arithmetic number, because the mean of its divisors is an integer number (9743371344).

Almost surely, 2153110120460 is an apocalyptic number.

153110120460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153110120460 is an abundant number, since it is smaller than the sum of its proper divisors (314571704052).

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

153110120460 is a wasteful number, since it uses less digits than its factorization.

153110120460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231985054 (or 231985052 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 153110120460 in words is "one hundred fifty-three billion, one hundred ten million, one hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 231985031 463970062 695955093 927940124 1159925155 1391910186 2319850310 2551835341 2783820372 3479775465 4639700620 5103670682 6959550930 7655506023 10207341364 12759176705 13919101860 15311012046 25518353410 30622024092 38277530115 51036706820 76555060230 153110120460