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113023010022 = 231323431146173
BaseRepresentation
bin110100101000010110…
…0100100010011100110
3101210201202201210112020
41221100230210103212
53322432342310042
6123531055204010
711110546506516
oct1512054442346
9353652653466
10113023010022
1143a295a72aa
1219aa3216606
13a8728a9930
145682899846
152e176d43ec
hex1a50b244e6

113023010022 has 64 divisors (see below), whose sum is σ = 254609381376. Its totient is φ = 33186890880.

The previous prime is 113023009973. The next prime is 113023010059. The reversal of 113023010022 is 220010320311.

113023010022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1130230100222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113023009983 and 113023010010.

It is a congruent number.

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, 700128 + ... + 846300.

It is an arithmetic number, because the mean of its divisors is an integer number (3978271584).

Almost surely, 2113023010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113023010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127304690688).

113023010022 is an abundant number, since it is smaller than the sum of its proper divisors (141586371354).

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

113023010022 is a wasteful number, since it uses less digits than its factorization.

113023010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146645.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113023010022 its reverse (220010320311), we get a palindrome (333033330333).

The spelling of 113023010022 in words is "one hundred thirteen billion, twenty-three million, ten thousand, twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 431 598 862 897 1293 1794 2586 5603 9913 11206 16809 19826 29739 33618 59478 128869 146173 257738 292346 386607 438519 773214 877038 1900249 3361979 3800498 5700747 6723958 10085937 11401494 20171874 43705727 63000563 87411454 126001126 131117181 189001689 262234362 378003378 819007319 1449012949 1638014638 2457021957 2898025898 4347038847 4914043914 8694077694 18837168337 37674336674 56511505011 113023010022