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112452100 = 22529711593
BaseRepresentation
bin1101011001111…
…10001000000100
321211121011021121
412230332020010
5212241431400
615054123324
72533553455
oct654761004
9254534247
10112452100
1158526a22
12317b0544
131a3b3507
1410d1312c
159d1421a
hex6b3e204

112452100 has 36 divisors (see below), whose sum is σ = 246558004. Its totient is φ = 44513280.

The previous prime is 112452079. The next prime is 112452113. The reversal of 112452100 is 1254211.

It can be written as a sum of positive squares in 6 ways, for example, as 1444804 + 111007296 = 1202^2 + 10536^2 .

It is a congruent number.

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, 3904 + ... + 15496.

Almost surely, 2112452100 is an apocalyptic number.

112452100 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 112452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123279002).

112452100 is an abundant number, since it is smaller than the sum of its proper divisors (134105904).

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

112452100 is a wasteful number, since it uses less digits than its factorization.

112452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704 (or 11697 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112452100 is about 10604.3434497379. The cubic root of 112452100 is about 482.6761685892.

The spelling of 112452100 in words is "one hundred twelve million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 11593 23186 46372 57965 115930 231860 289825 579650 1124521 1159300 2249042 4498084 5622605 11245210 22490420 28113025 56226050 112452100