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103012311100 = 22524721917513
BaseRepresentation
bin101111111110000000…
…0110010000000111100
3100211220002211121020111
41133330000302000330
53141432122423400
6115153451155404
710304512124416
oct1377400620074
9324802747214
10103012311100
113a761845006
1217b6a745b64
13993891474a
144db314d9b6
152a2d9113ba
hex17fc03203c

103012311100 has 36 divisors (see below), whose sum is σ = 228292825824. Its totient is φ = 40328222080.

The previous prime is 103012311097. The next prime is 103012311107. The reversal of 103012311100 is 1113210301.

It is a super-2 number, since 2×1030123111002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012311107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10954057 + ... + 10963456.

It is an arithmetic number, because the mean of its divisors is an integer number (6341467384).

Almost surely, 2103012311100 is an apocalyptic number.

103012311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103012311100 is an abundant number, since it is smaller than the sum of its proper divisors (125280514724).

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

103012311100 is a wasteful number, since it uses less digits than its factorization.

103012311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21917574 (or 21917567 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 103012311100 its reverse (1113210301), we get a palindrome (104125521401).

The spelling of 103012311100 in words is "one hundred three billion, twelve million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 21917513 43835026 87670052 109587565 219175130 438350260 547937825 1030123111 1095875650 2060246222 2191751300 4120492444 5150615555 10301231110 20602462220 25753077775 51506155550 103012311100