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113024100 = 223527107503
BaseRepresentation
bin1101011110010…
…01110001100100
321212200012220210
412233021301210
5212413232400
615114255420
72541455220
oct657116144
9255605823
10113024100
1158887752
1231a27570
131a553987
1411021780
159dc8950
hex6bc9c64

113024100 has 144 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 25541760.

The previous prime is 113024057. The next prime is 113024123. The reversal of 113024100 is 1420311.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224449 + ... + 224951.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2113024100 is an apocalyptic number.

113024100 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 113024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

113024100 is an abundant number, since it is smaller than the sum of its proper divisors (264951708).

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

113024100 is a wasteful number, since it uses less digits than its factorization.

113024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 113024100 is about 10631.2793209472. The cubic root of 113024100 is about 483.4931800539.

Adding to 113024100 its reverse (1420311), we get a palindrome (114444411).

The spelling of 113024100 in words is "one hundred thirteen million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 107 140 150 175 210 214 300 321 350 420 428 503 525 535 642 700 749 1006 1050 1070 1284 1498 1509 1605 2012 2100 2140 2247 2515 2675 2996 3018 3210 3521 3745 4494 5030 5350 6036 6420 7042 7490 7545 8025 8988 10060 10563 10700 11235 12575 14084 14980 15090 16050 17605 18725 21126 22470 25150 30180 32100 35210 37450 37725 42252 44940 50300 52815 53821 56175 70420 74900 75450 88025 105630 107642 112350 150900 161463 176050 211260 215284 224700 264075 269105 322926 352100 376747 528150 538210 645852 753494 807315 1056300 1076420 1130241 1345525 1506988 1614630 1883735 2260482 2691050 3229260 3767470 4036575 4520964 5382100 5651205 7534940 8073150 9418675 11302410 16146300 18837350 22604820 28256025 37674700 56512050 113024100