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113334131022 = 237231574611621
BaseRepresentation
bin110100110001100111…
…1011001100101001110
3101211112110011101022020
41221203033121211032
53324102014143042
6124022011431010
711121345135030
oct1514317314516
9354473141266
10113334131022
11440791870a2
1219b6b455466
13a8c219c5b8
1456b1d25c50
152e34b8d3ec
hex1a633d994e

113334131022 has 128 divisors (see below), whose sum is σ = 272792475648. Its totient is φ = 30690316800.

The previous prime is 113334131017. The next prime is 113334131023. The reversal of 113334131022 is 220131433311.

It is a junction number, because it is equal to n+sod(n) for n = 113334130983 and 113334131001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113334131023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69915372 + ... + 69916992.

It is an arithmetic number, because the mean of its divisors is an integer number (2131191216).

Almost surely, 2113334131022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113334131022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136396237824).

113334131022 is an abundant number, since it is smaller than the sum of its proper divisors (159458344626).

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

113334131022 is a wasteful number, since it uses less digits than its factorization.

113334131022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274.

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

Adding to 113334131022 its reverse (220131433311), we get a palindrome (333465564333).

The spelling of 113334131022 in words is "one hundred thirteen billion, three hundred thirty-four million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 157 161 314 322 461 471 483 922 942 966 1099 1383 1621 2198 2766 3227 3242 3297 3611 4863 6454 6594 7222 9681 9726 10603 10833 11347 19362 21206 21666 22694 25277 31809 34041 37283 50554 63618 68082 72377 74221 74566 75831 111849 144754 148442 151662 217131 222663 223698 254497 260981 434262 445326 506639 508994 521962 747281 763491 782943 1013278 1494562 1519917 1526982 1565886 1664671 1781479 2241843 3039834 3329342 3562958 4483686 4994013 5230967 5344437 5853431 9988026 10461934 10688874 11652697 11706862 15692901 17187463 17560293 23305394 31385802 34374926 34958091 35120586 40974017 51562389 69916182 81948034 103124778 117323117 120312241 122922051 234646234 240624482 245844102 351969351 360936723 703938702 721873446 821261819 1642523638 2463785457 2698431691 4927570914 5396863382 8095295073 16190590146 18889021837 37778043674 56667065511 113334131022