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52243212100 = 2252612140401
BaseRepresentation
bin110000101001111100…
…000010011101000100
311222211220211011010111
4300221330002131010
51323443230241400
640000013202404
73526430655502
oct605174023504
9158756734114
1052243212100
1120179a27552
12a160190404
134c07720c71
142758619672
15155b79a3ba
hexc29f02744

52243212100 has 54 divisors (see below), whose sum is σ = 115257546222. Its totient is φ = 20554560000.

The previous prime is 52243212071. The next prime is 52243212127. The reversal of 52243212100 is 121234225.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 51743510784 + 499701316 = 227472^2 + 22354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 301900 + ... + 442300.

Almost surely, 252243212100 is an apocalyptic number.

52243212100 is a gapful number since it is divisible by the number (50) 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 52243212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57628773111).

52243212100 is an abundant number, since it is smaller than the sum of its proper divisors (63014334122).

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

52243212100 is a wasteful number, since it uses less digits than its factorization.

52243212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140537 (or 140469 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 52243212100 its reverse (121234225), we get a palindrome (52364446325).

The spelling of 52243212100 in words is "fifty-two billion, two hundred forty-three million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 3721 6100 7442 14884 18605 37210 74420 93025 140401 186050 280802 372100 561604 702005 1404010 2808020 3510025 7020050 8564461 14040100 17128922 34257844 42822305 85644610 171289220 214111525 428223050 522432121 856446100 1044864242 2089728484 2612160605 5224321210 10448642420 13060803025 26121606050 52243212100