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113021341442020 = 225118311633532069
BaseRepresentation
bin11001101100101011010100…
…111010001001111111100100
3112211011201211121111122022201
4121230223110322021333210
5104303220201402121040
61040213142032304244
732543344126163344
oct3154532472117744
9484151747448281
10113021341442020
1133015099869160
12108143626a2084
134b0ab36393c5b
141dca39534ad24
15d0ee2784ba9a
hex66cad4e89fe4

113021341442020 has 96 divisors (see below), whose sum is σ = 262064174359680. Its totient is φ = 40599938242560.

The previous prime is 113021341441969. The next prime is 113021341442033. The reversal of 113021341442020 is 20244143120311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 113021341442020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212152546 + ... + 212684614.

It is an arithmetic number, because the mean of its divisors is an integer number (2729835149580).

Almost surely, 2113021341442020 is an apocalyptic number.

113021341442020 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 113021341442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131032087179840).

113021341442020 is an abundant number, since it is smaller than the sum of its proper divisors (149042832917660).

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

113021341442020 is a wasteful number, since it uses less digits than its factorization.

113021341442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543805 (or 543803 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 113021341442020 its reverse (20244143120311), we get a palindrome (133265484562331).

The spelling of 113021341442020 in words is "one hundred thirteen trillion, twenty-one billion, three hundred forty-one million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 11633 18260 23266 46532 58165 116330 127963 232660 255926 511852 532069 639815 965539 1064138 1279630 1931078 2128276 2559260 2660345 3862156 4827695 5320690 5852759 9655390 10620929 10641380 11705518 19310780 21241858 23411036 29263795 42483716 44161727 53104645 58527590 88323454 106209290 117055180 176646908 212418580 220808635 441617270 485778997 883234540 971557994 1943115988 2428894985 4857789970 6189558677 9715579940 12379117354 24758234708 30947793385 61895586770 68085145447 123791173540 136170290894 272340581788 340425727235 513733370191 680851454470 1027466740382 1361702908940 2054933480764 2568666850955 5137333701910 5651067072101 10274667403820 11302134144202 22604268288404 28255335360505 56510670721010 113021341442020