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113011140 = 223511832063
BaseRepresentation
bin1101011110001…
…10100111000100
321212122120010210
412233012213010
5212412324030
615114115420
72541402354
oct657064704
9255576123
10113011140
1158878a40
1231a1bb70
131a54aac8
141101ab64
159dc4bb0
hex6bc69c4

113011140 has 96 divisors (see below), whose sum is σ = 349526016. Its totient is φ = 27053440.

The previous prime is 113011139. The next prime is 113011141. The reversal of 113011140 is 41110311.

It is an interprime number because it is at equal distance from previous prime (113011139) and next prime (113011141).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (113011141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53749 + ... + 55811.

It is an arithmetic number, because the mean of its divisors is an integer number (3640896).

Almost surely, 2113011140 is an apocalyptic number.

113011140 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 113011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174763008).

113011140 is an abundant number, since it is smaller than the sum of its proper divisors (236514876).

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

113011140 is a wasteful number, since it uses less digits than its factorization.

113011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 113011140 is about 10630.6697813449. The cubic root of 113011140 is about 483.4746993017.

Adding to 113011140 its reverse (41110311), we get a palindrome (154121451).

The spelling of 113011140 in words is "one hundred thirteen million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1245 1660 1826 2063 2490 2739 3652 4126 4565 4980 5478 6189 8252 9130 10315 10956 12378 13695 18260 20630 22693 24756 27390 30945 41260 45386 54780 61890 68079 90772 113465 123780 136158 171229 226930 272316 340395 342458 453860 513687 680790 684916 856145 1027374 1361580 1712290 1883519 2054748 2568435 3424580 3767038 5136870 5650557 7534076 9417595 10273740 11301114 18835190 22602228 28252785 37670380 56505570 113011140