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103312210100 = 22521193920191
BaseRepresentation
bin110000000110111100…
…0110011100010110100
3100212200000011001022212
41200031320303202310
53143040411210400
6115243323112552
710315113203501
oct1401570634264
9325600131285
10103312210100
113a8a605a620
1218033072758
139985aa8588
145000cd84a8
152a49e00335
hex180de338b4

103312210100 has 36 divisors (see below), whose sum is σ = 244568179968. Its totient is φ = 37568076000.

The previous prime is 103312210097. The next prime is 103312210103. The reversal of 103312210100 is 1012213301.

It is an interprime number because it is at equal distance from previous prime (103312210097) and next prime (103312210103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312210103) 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, 46958996 + ... + 46961195.

Almost surely, 2103312210100 is an apocalyptic number.

103312210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312210100 is an abundant number, since it is smaller than the sum of its proper divisors (141255969868).

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

103312210100 is a wasteful number, since it uses less digits than its factorization.

103312210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93920216 (or 93920209 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103312210100 its reverse (1012213301), we get a palindrome (104324423401).

The spelling of 103312210100 in words is "one hundred three billion, three hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 93920191 187840382 375680764 469600955 939201910 1033122101 1878403820 2066244202 2348004775 4132488404 4696009550 5165610505 9392019100 10331221010 20662442020 25828052525 51656105050 103312210100