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1030015431900 = 2234527213892243
BaseRepresentation
bin11101111110100011011…
…01000011010011011100
310122110122112202100110000
432333101231003103130
5113333432422310100
62105103233214300
7134262512466600
oct16772155032334
93573575670400
101030015431900
1136791094a164
1214775a101390
137618c904a30
1437bd294b500
151bbd68dc900
hexefd1b434dc

1030015431900 has 1080 divisors, whose sum is σ = 4231685248560. Its totient is φ = 214784317440.

The previous prime is 1030015431847. The next prime is 1030015431911. The reversal of 1030015431900 is 91345100301.

1030015431900 is a `hidden beast` number, since 1 + 0 + 30 + 0 + 1 + 543 + 1 + 90 + 0 = 666.

It is a super-2 number, since 2×10300154319002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 459212179 + ... + 459214421.

It is an arithmetic number, because the mean of its divisors is an integer number (3918227082).

Almost surely, 21030015431900 is an apocalyptic number.

1030015431900 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 1030015431900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115842624280).

1030015431900 is an abundant number, since it is smaller than the sum of its proper divisors (3201669816660).

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

1030015431900 is a wasteful number, since it uses less digits than its factorization.

1030015431900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 1030015431900 in words is "one trillion, thirty billion, fifteen million, four hundred thirty-one thousand, nine hundred".