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113022072 = 23329716183
BaseRepresentation
bin1101011110010…
…01010001111000
321212200010010200
412233021101320
5212413201242
615114242200
72541446262
oct657112170
9255603120
10113022072
1158886179
1231a26360
131a552a87
1411020b32
159dc804c
hex6bc9478

113022072 has 48 divisors (see below), whose sum is σ = 309276240. Its totient is φ = 37283328.

The previous prime is 113022071. The next prime is 113022073. The reversal of 113022072 is 270220311.

It is an interprime number because it is at equal distance from previous prime (113022071) and next prime (113022073).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108 + ... + 15075.

It is an arithmetic number, because the mean of its divisors is an integer number (6443255).

Almost surely, 2113022072 is an apocalyptic number.

113022072 is a gapful number since it is divisible by the number (12) 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 113022072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154638120).

113022072 is an abundant number, since it is smaller than the sum of its proper divisors (196254168).

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

113022072 is a wasteful number, since it uses less digits than its factorization.

113022072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16292 (or 16285 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 113022072 is about 10631.1839415937. The cubic root of 113022072 is about 483.4902882516.

Adding to 113022072 its reverse (270220311), we get a palindrome (383242383).

The spelling of 113022072 in words is "one hundred thirteen million, twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 16183 32366 48549 64732 97098 129464 145647 194196 291294 388392 582588 1165176 1569751 3139502 4709253 6279004 9418506 12558008 14127759 18837012 28255518 37674024 56511036 113022072