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2102324421132 = 22321317325966163
BaseRepresentation
bin11110100101111100010…
…011001110001000001100
321102222110121022000120100
4132211330103032020030
5233421030022434012
64245443340251100
7304613362506405
oct36457423161014
97388417260510
102102324421132
11740655367991
1229b540240a90
1312332c7b9820
1473a784d89ac
1539a4630e8dc
hex1e97c4ce20c

2102324421132 has 72 divisors (see below), whose sum is σ = 5756075370864. Its totient is φ = 643129900416.

The previous prime is 2102324421121. The next prime is 2102324421137. The reversal of 2102324421132 is 2311244232012.

2102324421132 is a `hidden beast` number, since 2 + 1 + 0 + 232 + 4 + 421 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×21023244211322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102324421096 and 2102324421105.

It is not an unprimeable number, because it can be changed into a prime (2102324421137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12902118 + ... + 13064045.

It is an arithmetic number, because the mean of its divisors is an integer number (79945491262).

Almost surely, 22102324421132 is an apocalyptic number.

It is an amenable number.

2102324421132 is an abundant number, since it is smaller than the sum of its proper divisors (3653750949732).

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

2102324421132 is a wasteful number, since it uses less digits than its factorization.

2102324421132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25966359 (or 25966354 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2102324421132 its reverse (2311244232012), we get a palindrome (4413568653144).

It can be divided in two parts, 210232 and 4421132, that added together give a palindrome (4631364).

The spelling of 2102324421132 in words is "two trillion, one hundred two billion, three hundred twenty-four million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 3114 4498 6228 6747 8996 13494 20241 26988 40482 80964 25966163 51932326 77898489 103864652 155796978 233695467 311593956 337560119 467390934 675120238 934781868 1012680357 1350240476 2025360714 3038041071 4050721428 4492146199 6076082142 8984292398 12152164284 13476438597 17968584796 26952877194 40429315791 53905754388 58397900587 80858631582 116795801174 161717263164 175193701761 233591602348 350387403522 525581105283 700774807044 1051162210566 2102324421132