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2313232323132 = 22317103263418597
BaseRepresentation
bin100001101010010111011…
…001000001001000111100
322012010212010201112121010
4201222113121001020330
5300344444433320012
64530403444435220
7326061024215103
oct41522731011074
98163763645533
102313232323132
11812044382325
123143a09a8b10
1313a1a1928483
147dd6515503a
154028c1cec3c
hex21a9764123c

2313232323132 has 96 divisors (see below), whose sum is σ = 5792485450752. Its totient is φ = 715939808256.

The previous prime is 2313232323079. The next prime is 2313232323139.

2313232323132 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2313232323132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313232323139) 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, 5316858 + ... + 5735454.

It is an arithmetic number, because the mean of its divisors is an integer number (60338390112).

Almost surely, 22313232323132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313232323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896242725376).

2313232323132 is an abundant number, since it is smaller than the sum of its proper divisors (3479253127620).

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

2313232323132 is a wasteful number, since it uses less digits than its factorization.

2313232323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418987 (or 418985 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

The spelling of 2313232323132 in words is "two trillion, three hundred thirteen billion, two hundred thirty-two million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 263 309 412 526 618 789 1052 1236 1578 1751 3156 3502 4471 5253 7004 8942 10506 13413 17884 21012 26826 27089 53652 54178 81267 108356 162534 325068 418597 460513 837194 921026 1255791 1381539 1674388 1842052 2511582 2763078 5023164 5526156 7116149 14232298 21348447 28464596 42696894 43115491 85393788 86230982 110091011 129346473 172461964 220182022 258692946 330273033 440364044 517385892 660546066 732963347 1321092132 1465926694 1871547187 2198890041 2931853388 3743094374 4397780082 5614641561 7486188748 8795560164 11229283122 11339374133 22458566244 22678748266 34018122399 45357496532 68036244798 136072489596 192769360261 385538720522 578308080783 771077441044 1156616161566 2313232323132