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103113132100 = 225211101928111
BaseRepresentation
bin110000000001000000…
…1011000100001000100
3100212011010112211122121
41200002001120201010
53142133430211400
6115211452135324
710310145106246
oct1400201304104
9325133484577
10103113132100
113a803747350
1217b98467544
139953784b44
144dc26b6096
152a376c921a
hex1802058844

103113132100 has 72 divisors (see below), whose sum is σ = 246513972096. Its totient is φ = 37124400000.

The previous prime is 103113132071. The next prime is 103113132113. The reversal of 103113132100 is 1231311301.

It is a super-2 number, since 2×1031131321002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352956 + ... + 575155.

It is an arithmetic number, because the mean of its divisors is an integer number (3423805168).

Almost surely, 2103113132100 is an apocalyptic number.

103113132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103113132100 is an abundant number, since it is smaller than the sum of its proper divisors (143400839996).

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

103113132100 is a wasteful number, since it uses less digits than its factorization.

103113132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928237 (or 928230 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103113132100 its reverse (1231311301), we get a palindrome (104344443401).

It can be divided in two parts, 1031 and 13132100, that added together give a palindrome (13133131).

The spelling of 103113132100 in words is "one hundred three billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 928111 1856222 3712444 4640555 9281110 10209221 18562220 20418442 23202775 40836884 46405550 51046105 92811100 93739211 102092210 187478422 204184420 255230525 374956844 468696055 510461050 937392110 1020922100 1031131321 1874784220 2062262642 2343480275 4124525284 4686960550 5155656605 9373921100 10311313210 20622626420 25778283025 51556566050 103113132100