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113312010 = 23572194057
BaseRepresentation
bin1101100000100…
…00000100001010
321220012211212010
412300100010022
5213001441020
615124400350
72544064500
oct660200412
9256184763
10113312010
1158a63a99
1231b460b6
131a624a36
1411098670
159e33de0
hex6c1010a

113312010 has 96 divisors (see below), whose sum is σ = 333080640. Its totient is φ = 24530688.

The previous prime is 113311999. The next prime is 113312011. The reversal of 113312010 is 10213311.

It is a super-2 number, since 2×1133120102 = 25679223220480200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25902 + ... + 29958.

It is an arithmetic number, because the mean of its divisors is an integer number (3469590).

Almost surely, 2113312010 is an apocalyptic number.

113312010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166540320).

113312010 is an abundant number, since it is smaller than the sum of its proper divisors (219768630).

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

113312010 is a wasteful number, since it uses less digits than its factorization.

113312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113312010 is about 10644.8114121388. The cubic root of 113312010 is about 483.9033713024.

Adding to 113312010 its reverse (10213311), we get a palindrome (123525321).

The spelling of 113312010 in words is "one hundred thirteen million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4057 4655 5586 8114 9310 12171 13965 20285 24342 27930 28399 40570 56798 60855 77083 85197 121710 141995 154166 170394 198793 231249 283990 385415 397586 425985 462498 539581 596379 770830 851970 993965 1079162 1156245 1192758 1618743 1987930 2312490 2697905 2981895 3237486 3777067 5395810 5963790 7554134 8093715 11331201 16187430 18885335 22662402 37770670 56656005 113312010