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2010202210112 = 2661613839981
BaseRepresentation
bin11101010000001001011…
…000110111111101000000
321010011200110002211012212
4131100021120313331000
5230413343231210422
64135250225441252
7265142453600615
oct35201130677500
97104613084185
102010202210112
11705581818298
122857107a0228
1311773b100aa5
146d41980c50c
15374539ce9e2
hex1d409637f40

2010202210112 has 56 divisors (see below), whose sum is σ = 4061007216552. Its totient is φ = 987010099200.

The previous prime is 2010202210067. The next prime is 2010202210117. The reversal of 2010202210112 is 2110122020102.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 2010202209856 = 16^2 + 1417816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010202210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1973162 + ... + 2813142.

Almost surely, 22010202210112 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 2010202210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030503608276).

2010202210112 is an abundant number, since it is smaller than the sum of its proper divisors (2050805006440).

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

2010202210112 is an equidigital number, since it uses as much as digits as its factorization.

2010202210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840667 (or 840657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2010202210112 its reverse (2110122020102), we get a palindrome (4120324230214).

The spelling of 2010202210112 in words is "two trillion, ten billion, two hundred two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 613 976 1226 1952 2452 3904 4904 9808 19616 37393 39232 74786 149572 299144 598288 839981 1196576 1679962 2393152 3359924 6719848 13439696 26879392 51238841 53758784 102477682 204955364 409910728 514908353 819821456 1029816706 1639642912 2059633412 3279285824 4119266824 8238533648 16477067296 31409409533 32954134592 62818819066 125637638132 251275276264 502550552528 1005101105056 2010202210112