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113323322322 = 2347443225581
BaseRepresentation
bin110100110001010011…
…0001010101111010010
3101211111200211020120000
41221202212022233102
53324041232303242
6124020544030430
711121154226550
oct1514246125722
9354450736500
10113323322322
1144073074391
1219b67902416
13a8bcb86912
1456b0710bd0
152e33c55a4c
hex1a6298abd2

113323322322 has 80 divisors (see below), whose sum is σ = 290860016832. Its totient is φ = 32304860640.

The previous prime is 113323322251. The next prime is 113323322323. The reversal of 113323322322 is 223223323311.

113323322322 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 332 + 2 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113323322323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389572 + ... + 615152.

Almost surely, 2113323322322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323322322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145430008416).

113323322322 is an abundant number, since it is smaller than the sum of its proper divisors (177536694510).

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

113323322322 is a wasteful number, since it uses less digits than its factorization.

113323322322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226045 (or 226036 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 113323322322 its reverse (223223323311), we get a palindrome (336546645633).

The spelling of 113323322322 in words is "one hundred thirteen billion, three hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 443 567 886 1134 1329 2658 3101 3987 6202 7974 9303 11961 18606 23922 27909 35883 55818 71766 83727 167454 225581 251181 451162 502362 676743 1353486 1579067 2030229 3158134 4060458 4737201 6090687 9474402 12181374 14211603 18272061 28423206 36544122 42634809 85269618 99932383 127904427 199864766 255808854 299797149 599594298 699526681 899391447 1399053362 1798782894 2098580043 2698174341 4197160086 5396348682 6295740129 8094523023 12591480258 16189046046 18887220387 37774440774 56661661161 113323322322