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113232220320 = 2535491480449
BaseRepresentation
bin110100101110100101…
…0101001000010100000
3101211021100101210002210
41221131022221002200
53323344422022240
6124003531242120
711115666664212
oct1513512510240
9354240353083
10113232220320
114402670007a
1219b412a9340
13a8a703a1cb
1456a25985b2
152e2ac5c780
hex1a5d2a90a0

113232220320 has 96 divisors (see below), whose sum is σ = 357408676800. Its totient is φ = 30133698560.

The previous prime is 113232220301. The next prime is 113232220351. The reversal of 113232220320 is 23022232311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4545 + ... + 475904.

It is an arithmetic number, because the mean of its divisors is an integer number (3723007050).

Almost surely, 2113232220320 is an apocalyptic number.

113232220320 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 113232220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178704338400).

113232220320 is an abundant number, since it is smaller than the sum of its proper divisors (244176456480).

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

113232220320 is a wasteful number, since it uses less digits than its factorization.

113232220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480958 (or 480950 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 113232220320 its reverse (23022232311), we get a palindrome (136254452631).

The spelling of 113232220320 in words is "one hundred thirteen billion, two hundred thirty-two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 491 982 1473 1964 2455 2946 3928 4910 5892 7365 7856 9820 11784 14730 15712 19640 23568 29460 39280 47136 58920 78560 117840 235680 480449 960898 1441347 1921796 2402245 2882694 3843592 4804490 5765388 7206735 7687184 9608980 11530776 14413470 15374368 19217960 23061552 28826940 38435920 46123104 57653880 76871840 115307760 230615520 235900459 471800918 707701377 943601836 1179502295 1415402754 1887203672 2359004590 2830805508 3538506885 3774407344 4718009180 5661611016 7077013770 7548814688 9436018360 11323222032 14154027540 18872036720 22646444064 28308055080 37744073440 56616110160 113232220320