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103310022100 = 22525319492457
BaseRepresentation
bin110000000110111000…
…0011101010111010100
3100212122212000212221211
41200031300131113110
53143034331201400
6115243204151204
710315055461465
oct1401560352724
9325585025854
10103310022100
113a8a48a575a
1218032398504
1399854c06bc
1450008c8d6c
152a49b1bdba
hex180dc1d5d4

103310022100 has 36 divisors (see below), whose sum is σ = 228412622844. Its totient is φ = 40544308480.

The previous prime is 103310022041. The next prime is 103310022187. The reversal of 103310022100 is 1220013301.

It can be written as a sum of positive squares in 6 ways, for example, as 1035423684 + 102274598416 = 32178^2 + 319804^2 .

It is a congruent number.

It is an unprimeable number.

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, 9740929 + ... + 9751528.

It is an arithmetic number, because the mean of its divisors is an integer number (6344795079).

Almost surely, 2103310022100 is an apocalyptic number.

103310022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103310022100 is an abundant number, since it is smaller than the sum of its proper divisors (125102600744).

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

103310022100 is a wasteful number, since it uses less digits than its factorization.

103310022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19492524 (or 19492517 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103310022100 its reverse (1220013301), we get a palindrome (104530035401).

The spelling of 103310022100 in words is "one hundred three billion, three hundred ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 19492457 38984914 77969828 97462285 194924570 389849140 487311425 974622850 1033100221 1949245700 2066200442 4132400884 5165501105 10331002210 20662004420 25827505525 51655011050 103310022100