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103353631400 = 2352516768157
BaseRepresentation
bin110000001000001011…
…0110100001010101000
3100212202220002110200002
41200100112310022220
53143132012201100
6115251403002132
710316125241345
oct1402026641250
9325686073602
10103353631400
113a917480aa8
1218044b09348
13999154c016
1450065db7cc
152a4d8832d5
hex18105b42a8

103353631400 has 24 divisors (see below), whose sum is σ = 240297193470. Its totient is φ = 41341452480.

The previous prime is 103353631369. The next prime is 103353631429. The reversal of 103353631400 is 4136353301.

It can be written as a sum of positive squares in 3 ways, for example, as 52614266884 + 50739364516 = 229378^2 + 225254^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 258383879 + ... + 258384278.

Almost surely, 2103353631400 is an apocalyptic number.

103353631400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103353631400 is an abundant number, since it is smaller than the sum of its proper divisors (136943562070).

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

103353631400 is a wasteful number, since it uses less digits than its factorization.

103353631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516768173 (or 516768164 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 103353631400 its reverse (4136353301), we get a palindrome (107489984701).

The spelling of 103353631400 in words is "one hundred three billion, three hundred fifty-three million, six hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 516768157 1033536314 2067072628 2583840785 4134145256 5167681570 10335363140 12919203925 20670726280 25838407850 51676815700 103353631400