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155430112600 = 235271731293719
BaseRepresentation
bin1001000011000001011…
…0110100110101011000
3112212012012011211000001
42100300112310311120
510021310102100400
6155223102422344
714141463105220
oct2206026646530
9485165154001
10155430112600
115aa10279114
12261592919b4
1311870563939
147746a15080
15409a696a6a
hex24305b4d58

155430112600 has 384 divisors, whose sum is σ = 453570969600. Its totient is φ = 48304742400.

The previous prime is 155430112589. The next prime is 155430112601. The reversal of 155430112600 is 6211034551.

It is a super-3 number, since 3×1554301126003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155430112601) 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, 216175041 + ... + 216175759.

It is an arithmetic number, because the mean of its divisors is an integer number (1181174400).

Almost surely, 2155430112600 is an apocalyptic number.

155430112600 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 155430112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226785484800).

155430112600 is an abundant number, since it is smaller than the sum of its proper divisors (298140857000).

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

155430112600 is a wasteful number, since it uses less digits than its factorization.

155430112600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 155430112600 in words is "one hundred fifty-five billion, four hundred thirty million, one hundred twelve thousand, six hundred".