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113531004 = 22331961907
BaseRepresentation
bin1101100010001…
…01100001111100
321220121222021000
412301011201330
5213030443004
615133210300
72545666116
oct661054174
9256558230
10113531004
11590a3584
1232030990
131a6a0612
14111143b6
159e78c39
hex6c4587c

113531004 has 96 divisors (see below), whose sum is σ = 315257600. Its totient is φ = 35225280.

The previous prime is 113530999. The next prime is 113531017. The reversal of 113531004 is 400135311.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 124719 + ... + 125625.

Almost surely, 2113531004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113531004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157628800).

113531004 is an abundant number, since it is smaller than the sum of its proper divisors (201726596).

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

113531004 is a wasteful number, since it uses less digits than its factorization.

113531004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113531004 is about 10655.0928667938. The cubic root of 113531004 is about 484.2149115023.

Adding to 113531004 its reverse (400135311), we get a palindrome (513666315).

The spelling of 113531004 in words is "one hundred thirteen million, five hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 108 114 122 171 183 228 244 342 366 513 549 684 732 907 1026 1098 1159 1647 1814 2052 2196 2318 2721 3294 3477 3628 4636 5442 6588 6954 8163 10431 10884 13908 16326 17233 20862 24489 31293 32652 34466 41724 48978 51699 55327 62586 68932 97956 103398 110654 125172 155097 165981 206796 221308 310194 331962 465291 497943 620388 663924 930582 995886 1051213 1493829 1861164 1991772 2102426 2987658 3153639 4204852 5975316 6307278 9460917 12614556 18921834 28382751 37843668 56765502 113531004