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113312022132 = 22329592891051
BaseRepresentation
bin110100110000111101…
…1000011111001110100
3101211110220120010121110
41221201323003321310
53324030334202012
6124015501515020
711120656203441
oct1514173037164
9354426503543
10113312022132
1144067756391
1219b63b72a70
13a8ba72b30a
1456ad00c9c8
152e32c7273c
hex1a61ec3e74

113312022132 has 144 divisors (see below), whose sum is σ = 281619979200. Its totient is φ = 35413593600.

The previous prime is 113312022119. The next prime is 113312022133. The reversal of 113312022132 is 231220213311.

It is a super-2 number, since 2×1133120221322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113312022099 and 113312022108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312022133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107813007 + ... + 107814057.

It is an arithmetic number, because the mean of its divisors is an integer number (1955694300).

Almost surely, 2113312022132 is an apocalyptic number.

113312022132 is a gapful number since it is divisible by the number (12) 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 113312022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140809989600).

113312022132 is an abundant number, since it is smaller than the sum of its proper divisors (168307957068).

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

113312022132 is a wasteful number, since it uses less digits than its factorization.

113312022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113312022132 its reverse (231220213311), we get a palindrome (344532235443).

The spelling of 113312022132 in words is "one hundred thirteen billion, three hundred twelve million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 59 87 89 116 118 174 177 178 236 267 348 354 356 534 708 1051 1068 1711 2102 2581 3153 3422 3481 4204 5133 5162 5251 6306 6844 6962 7743 10266 10324 10443 10502 12612 13924 15486 15753 20532 20886 21004 30479 30972 31506 41772 60958 62009 63012 91437 93539 100949 121916 124018 152279 182874 186027 187078 201898 248036 280617 302847 304558 309809 365748 372054 374156 403796 456837 561234 605694 609116 619618 744108 913674 929427 1122468 1211388 1239236 1798261 1827348 1858854 2712631 3596522 3658531 3717708 5394783 5425262 5518801 7193044 7317062 8137893 8984461 10789566 10850524 10975593 11037602 14634124 16275786 16556403 17968922 21579132 21951186 22075204 26953383 32551572 33112806 35937844 43902372 53906766 66225612 106097399 107813532 160045229 212194798 318292197 320090458 325609259 424389596 480135687 636584394 640180916 651218518 960271374 976827777 1273168788 1302437036 1920542748 1953655554 3907311108 9442668511 18885337022 28328005533 37770674044 56656011066 113312022132