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113321312010 = 23351769135729
BaseRepresentation
bin110100110001001111…
…0011111111100001010
3101211111120001002221000
41221202132133330022
53324040223441020
6124020432555430
711121131154564
oct1514236377412
9354446032830
10113321312010
1144071a20a75
1219b670b2b76
13a8bc63189a
1456b034a334
152e339aa090
hex1a6279ff0a

113321312010 has 128 divisors (see below), whose sum is σ = 320438073600. Its totient is φ = 28399472640.

The previous prime is 113321311981. The next prime is 113321312059. The reversal of 113321312010 is 10213123311.

113321312010 is a `hidden beast` number, since 1 + 1 + 332 + 131 + 201 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3153826 + ... + 3189554.

It is an arithmetic number, because the mean of its divisors is an integer number (2503422450).

Almost surely, 2113321312010 is an apocalyptic number.

113321312010 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 113321312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160219036800).

113321312010 is an abundant number, since it is smaller than the sum of its proper divisors (207116761590).

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

113321312010 is a wasteful number, since it uses less digits than its factorization.

113321312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36453 (or 36447 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113321312010 its reverse (10213123311), we get a palindrome (123534435321).

The spelling of 113321312010 in words is "one hundred thirteen billion, three hundred twenty-one million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 691 765 918 1382 1530 2073 2295 3455 4146 4590 6219 6910 10365 11747 12438 18657 20730 23494 31095 35241 35729 37314 58735 62190 70482 71458 93285 105723 107187 117470 176205 178645 186570 211446 214374 317169 321561 352410 357290 528615 535935 607393 634338 643122 964683 1057230 1071870 1214786 1585845 1607805 1822179 1929366 3036965 3171690 3215610 3644358 4823415 5466537 6073930 9110895 9646830 10933074 16399611 18221790 24688739 27332685 32799222 49377478 54665370 74066217 81998055 123443695 148132434 163996110 222198651 246887390 370331085 419708563 444397302 666595953 740662170 839417126 1110993255 1259125689 1333191906 2098542815 2221986510 2518251378 3332979765 3777377067 4197085630 6295628445 6665959530 7554754134 11332131201 12591256890 18886885335 22664262402 37773770670 56660656005 113321312010