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155300112000 = 2733531122971
BaseRepresentation
bin1001000010100010011…
…0111010011010000000
3112211212010120002201000
42100220212322122000
510021023312041000
6155202140212000
714135324112555
oct2205046723200
9484763502630
10155300112000
115a953956800
122612183a000
131184c647ac7
147733654a2c
15408e068000
hex24289ba680

155300112000 has 768 divisors, whose sum is σ = 628963171200. Its totient is φ = 37635840000.

The previous prime is 155300111987. The next prime is 155300112017. The reversal of 155300112000 is 211003551.

155300112000 is a `hidden beast` number, since 1 + 553 + 0 + 0 + 112 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52270515 + ... + 52273485.

Almost surely, 2155300112000 is an apocalyptic number.

155300112000 is a gapful number since it is divisible by the number (10) 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 155300112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314481585600).

155300112000 is an abundant number, since it is smaller than the sum of its proper divisors (473663059200).

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

155300112000 is a wasteful number, since it uses less digits than its factorization.

155300112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 155300112000 its reverse (211003551), we get a palindrome (155511115551).

It can be divided in two parts, 1553001 and 12000, that added together give a square (1565001 = 12512).

The spelling of 155300112000 in words is "one hundred fifty-five billion, three hundred million, one hundred twelve thousand".