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113441112 = 23323797439
BaseRepresentation
bin1101100001011…
…11100101011000
321220110101221200
412300233211120
5213020103422
615131234200
72545143051
oct660574530
9256411850
10113441112
1159041a94
1231ba8960
131a66b725
14110cd728
159e5c2ac
hex6c2f958

113441112 has 96 divisors (see below), whose sum is σ = 319519200. Its totient is φ = 36329472.

The previous prime is 113441101. The next prime is 113441113. The reversal of 113441112 is 211144311.

113441112 is a `hidden beast` number, since 113 + 441 + 112 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113441113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258189 + ... + 258627.

It is an arithmetic number, because the mean of its divisors is an integer number (3328325).

Almost surely, 2113441112 is an apocalyptic number.

113441112 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 113441112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159759600).

113441112 is an abundant number, since it is smaller than the sum of its proper divisors (206078088).

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

113441112 is a wasteful number, since it uses less digits than its factorization.

113441112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 113441112 is about 10650.8737669733. The cubic root of 113441112 is about 484.0870799310.

Adding to 113441112 its reverse (211144311), we get a palindrome (324585423).

The spelling of 113441112 in words is "one hundred thirteen million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 97 111 148 194 222 291 296 333 388 439 444 582 666 776 873 878 888 1164 1317 1332 1746 1756 2328 2634 2664 3492 3512 3589 3951 5268 6984 7178 7902 10536 10767 14356 15804 16243 21534 28712 31608 32301 32486 42583 43068 48729 64602 64972 85166 86136 97458 127749 129204 129944 146187 170332 194916 255498 258408 292374 340664 383247 389832 510996 584748 766494 1021992 1169496 1532988 1575571 3065976 3151142 4726713 6302284 9453426 12604568 14180139 18906852 28360278 37813704 56720556 113441112