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100424032400 = 2452251060081
BaseRepresentation
bin101110110000110111…
…1010010000010010000
3100121012201112102100102
41131201233102002100
53121132023014100
6114044551311532
710153413122366
oct1354157220220
9317181472312
10100424032400
11396538259aa
121756797b5a8
1396156169a3
144c094bd636
15292b598cd5
hex1761bd2090

100424032400 has 30 divisors (see below), whose sum is σ = 241268738802. Its totient is φ = 40169612800.

The previous prime is 100424032399. The next prime is 100424032403. The reversal of 100424032400 is 4230424001.

It can be written as a sum of positive squares in 3 ways, for example, as 16470128896 + 83953903504 = 128336^2 + 289748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100424032403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125529641 + ... + 125530440.

Almost surely, 2100424032400 is an apocalyptic number.

100424032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100424032400 is an abundant number, since it is smaller than the sum of its proper divisors (140844706402).

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

100424032400 is a wasteful number, since it uses less digits than its factorization.

100424032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251060099 (or 251060088 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 100424032400 its reverse (4230424001), we get a palindrome (104654456401).

The spelling of 100424032400 in words is "one hundred billion, four hundred twenty-four million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 251060081 502120162 1004240324 1255300405 2008480648 2510600810 4016961296 5021201620 6276502025 10042403240 12553004050 20084806480 25106008100 50212016200 100424032400