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12310312001022 = 23271193145956131
BaseRepresentation
bin1011001100100011011111…
…0001100001110111111110
31121120212001210212001121100
42303020313301201313332
53103143004333013042
642103140153113530
72410251002341650
oct263106761416776
947525053761540
1012310312001022
113a168572170a2
1214699a26b88a6
136b3b1ba49039
14307b7249c6d0
15165345a6c24c
hexb3237c61dfe

12310312001022 has 96 divisors (see below), whose sum is σ = 30529682876160. Its totient is φ = 3511812516480.

The previous prime is 12310312000981. The next prime is 12310312001023. The reversal of 12310312001022 is 22010021301321.

12310312001022 is a `hidden beast` number, since 12 + 310 + 312 + 0 + 0 + 10 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12310312000986 and 12310312001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310312001023) 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, 219285897 + ... + 219342027.

It is an arithmetic number, because the mean of its divisors is an integer number (318017529960).

Almost surely, 212310312001022 is an apocalyptic number.

12310312001022 is an abundant number, since it is smaller than the sum of its proper divisors (18219370875138).

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

12310312001022 is a wasteful number, since it uses less digits than its factorization.

12310312001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58798 (or 58795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12310312001022 its reverse (22010021301321), we get a palindrome (34320333302343).

The spelling of 12310312001022 in words is "twelve trillion, three hundred ten billion, three hundred twelve million, one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1193 1459 2386 2918 3579 4377 7158 8351 8754 10213 10737 13131 16702 20426 21474 25053 26262 30639 50106 56131 61278 75159 91917 112262 150318 168393 183834 336786 392917 505179 785834 1010358 1178751 1740587 2357502 3481174 3536253 5221761 7072506 10443522 12184109 15665283 24368218 31330566 36552327 66964283 73104654 81895129 109656981 133928566 163790258 200892849 219313962 245685387 401785698 468749981 491370774 573265903 602678547 737056161 937499962 1146531806 1205357094 1406249943 1474112322 1719797709 2812499886 3439595418 4218749829 5159393127 8437499658 10318786254 97700888897 195401777794 293102666691 586205333382 683906222279 879308000073 1367812444558 1758616000146 2051718666837 4103437333674 6155156000511 12310312001022