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103312100 = 22527114551
BaseRepresentation
bin1100010100001…
…10101011100100
321012101210120002
412022012223210
5202421441400
614130200432
72363065313
oct612065344
9235353502
10103312100
1153353a01
122a723118
1318533228
14da1427a
15910aed5
hex6286ae4

103312100 has 36 divisors (see below), whose sum is σ = 227360448. Its totient is φ = 40740000.

The previous prime is 103312073. The next prime is 103312129. The reversal of 103312100 is 1213301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (6315568).

Almost surely, 2103312100 is an apocalyptic number.

103312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113680224).

103312100 is an abundant number, since it is smaller than the sum of its proper divisors (124048348).

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

103312100 is a wasteful number, since it uses less digits than its factorization.

103312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14636 (or 14629 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 103312100 is about 10164.2559983503. The cubic root of 103312100 is about 469.2277948943.

Adding to 103312100 its reverse (1213301), we get a palindrome (104525401).

The spelling of 103312100 in words is "one hundred three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 14551 29102 58204 72755 145510 291020 363775 727550 1033121 1455100 2066242 4132484 5165605 10331210 20662420 25828025 51656050 103312100