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100230024400 = 245211431074951
BaseRepresentation
bin101110101011000101…
…1001100110011010000
3100120201012110210101221
41131112023030303100
53120232341240100
6114013421134424
710145536102402
oct1352613146320
9316635423357
10100230024400
1139564265910
12175129ba414
1395b4379b5c
144bcb81ab72
15291952501a
hex17562cccd0

100230024400 has 240 divisors, whose sum is σ = 271369916928. Its totient is φ = 35259840000.

The previous prime is 100230024281. The next prime is 100230024451. The reversal of 100230024400 is 4420032001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20241925 + ... + 20246875.

Almost surely, 2100230024400 is an apocalyptic number.

100230024400 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 100230024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135684958464).

100230024400 is an abundant number, since it is smaller than the sum of its proper divisors (171139892528).

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

100230024400 is a wasteful number, since it uses less digits than its factorization.

100230024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 100230024400 its reverse (4420032001), we get a palindrome (104650056401).

The spelling of 100230024400 in words is "one hundred billion, two hundred thirty million, twenty-four thousand, four hundred".