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113112332322 = 231167127201413
BaseRepresentation
bin110100101011000000…
…1010011100000100010
3101210221222210211200120
41221112001103200202
53323123224113242
6123544005501110
711113012650423
oct1512601234042
9353858724616
10113112332322
1143a74a65490
1219b09111796
13a888252272
1456906ab64a
152e2047a1ec
hex1a56053822

113112332322 has 64 divisors (see below), whose sum is σ = 252447473664. Its totient is φ = 33498843840.

The previous prime is 113112332321. The next prime is 113112332327. The reversal of 113112332322 is 223233211311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113112332292 and 113112332301.

It is not an unprimeable number, because it can be changed into a prime (113112332321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460888 + ... + 662300.

It is an arithmetic number, because the mean of its divisors is an integer number (3944491776).

Almost surely, 2113112332322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113112332322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126223736832).

113112332322 is an abundant number, since it is smaller than the sum of its proper divisors (139335141342).

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

113112332322 is a wasteful number, since it uses less digits than its factorization.

113112332322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201623.

The product of its digits is 1296, while the sum is 24.

Adding to 113112332322 its reverse (223233211311), we get a palindrome (336345543633).

The spelling of 113112332322 in words is "one hundred thirteen billion, one hundred twelve million, three hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 127 134 201 254 381 402 737 762 1397 1474 2211 2794 4191 4422 8382 8509 17018 25527 51054 93599 187198 201413 280797 402826 561594 604239 1208478 2215543 4431086 6646629 13293258 13494671 25579451 26989342 40484013 51158902 76738353 80968026 148441381 153476706 281373961 296882762 445324143 562747922 844121883 890648286 1688243766 1713823217 3427646434 5141469651 10282939302 18852055387 37704110774 56556166161 113112332322