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113512100 = 22521387317
BaseRepresentation
bin1101100010000…
…00111010100100
321220121000022212
412301000322210
5213024341400
615132542552
72545560032
oct661007244
9256530285
10113512100
1159090359
1232021a58
131a694b30
141110b552
159e73335
hex6c40ea4

113512100 has 36 divisors (see below), whose sum is σ = 265272084. Its totient is φ = 41911680.

The previous prime is 113512093. The next prime is 113512103. The reversal of 113512100 is 1215311.

It can be written as a sum of positive squares in 6 ways, for example, as 24285184 + 89226916 = 4928^2 + 9446^2 .

It is not an unprimeable number, because it can be changed into a prime (113512103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42359 + ... + 44958.

It is an arithmetic number, because the mean of its divisors is an integer number (7368669).

Almost surely, 2113512100 is an apocalyptic number.

113512100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113512100 is an abundant number, since it is smaller than the sum of its proper divisors (151759984).

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

113512100 is a wasteful number, since it uses less digits than its factorization.

113512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87344 (or 87337 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 113512100 is about 10654.2057423348. The cubic root of 113512100 is about 484.1880345363.

Adding to 113512100 its reverse (1215311), we get a palindrome (114727411).

The spelling of 113512100 in words is "one hundred thirteen million, five hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 87317 174634 349268 436585 873170 1135121 1746340 2182925 2270242 4365850 4540484 5675605 8731700 11351210 22702420 28378025 56756050 113512100