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113011136 = 2671491693
BaseRepresentation
bin1101011110001…
…10100111000000
321212122120010122
412233012213000
5212412324021
615114115412
72541402350
oct657064700
9255576118
10113011136
1158878a37
1231a1bb68
131a54aac4
141101ab60
159dc4bab
hex6bc69c0

113011136 has 56 divisors (see below), whose sum is σ = 258165600. Its totient is φ = 48079872.

The previous prime is 113011133. The next prime is 113011139. The reversal of 113011136 is 631110311.

It is an interprime number because it is at equal distance from previous prime (113011133) and next prime (113011139).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113011133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65906 + ... + 67598.

It is an arithmetic number, because the mean of its divisors is an integer number (4610100).

Almost surely, 2113011136 is an apocalyptic number.

113011136 is a gapful number since it is divisible by the number (16) 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 113011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129082800).

113011136 is an abundant number, since it is smaller than the sum of its proper divisors (145154464).

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

113011136 is a wasteful number, since it uses less digits than its factorization.

113011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 113011136 is about 10630.6695932100. The cubic root of 113011136 is about 483.4746935976.

Adding to 113011136 its reverse (631110311), we get a palindrome (744121447).

The spelling of 113011136 in words is "one hundred thirteen million, eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 298 448 596 1043 1192 1693 2086 2384 3386 4172 4768 6772 8344 9536 11851 13544 16688 23702 27088 33376 47404 54176 66752 94808 108352 189616 252257 379232 504514 758464 1009028 1765799 2018056 3531598 4036112 7063196 8072224 14126392 16144448 28252784 56505568 113011136