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2312200022132 = 22711213157334379
BaseRepresentation
bin100001101001011001110…
…111000110100001110100
322012001012012021012211202
4201221121313012201310
5300340341201202012
64530113210552032
7326023320623150
oct41513167064164
98161165235752
102312200022132
118116646a7300
12314153138618
1313a068abbb90
147dca7dda060
154022b76ccc2
hex21a59dc6874

2312200022132 has 144 divisors (see below), whose sum is σ = 5508902474880. Its totient is φ = 826261413120.

The previous prime is 2312200022123. The next prime is 2312200022137.

It is a happy number.

2312200022132 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312200022137) 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, 6747719 + ... + 7082097.

Almost surely, 22312200022132 is an apocalyptic number.

2312200022132 is a gapful number since it is divisible by the number (22) 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 2312200022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754451237440).

2312200022132 is an abundant number, since it is smaller than the sum of its proper divisors (3196702452748).

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

2312200022132 is a wasteful number, since it uses less digits than its factorization.

2312200022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334582 (or 334569 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 23122000 and 22132, that added together give a palindrome (23144132).

The spelling of 2312200022132 in words is "two trillion, three hundred twelve billion, two hundred million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 157 182 242 286 308 314 364 484 572 628 847 1001 1099 1573 1694 1727 2002 2041 2198 3146 3388 3454 4004 4082 4396 6292 6908 8164 11011 12089 14287 18997 22022 22451 24178 28574 37994 44044 44902 48356 57148 75988 89804 132979 157157 246961 265958 314314 334379 493922 531916 628628 668758 987844 1337516 1728727 2340653 3457454 3678169 4346927 4681306 6914908 7356338 8693854 9362612 14712676 17387708 25747183 30428489 40459859 47816197 51494366 52497503 60856978 80919718 95632394 102988732 104995006 121713956 161839436 191264788 209990012 283219013 334713379 367482521 525978167 566438026 577472533 669426758 682467539 734965042 1051956334 1132876052 1154945066 1338853516 1364935078 1469930084 2103912668 2309890132 2729870156 3681847169 4042307731 4777272773 6352197863 7363694338 7507142929 8084615462 9554545546 12704395726 14727388676 15014285858 16169230924 19109091092 25408791452 30028571716 44465385041 52550000503 82578572219 88930770082 105100001006 165157144438 177861540164 210200002012 330314288876 578050005533 1156100011066 2312200022132