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2202112202013 = 326110313890527
BaseRepresentation
bin100000000010111000000…
…111011001010100011101
321210112000222121111220200
4200002320013121110131
5242034411210431023
64403345242534113
7315045251606313
oct40027007312435
97715028544820
102202112202013
11779a01a24689
122b694ab07339
1312c873354309
14788232b60b3
153c436ac9743
hex200b81d951d

2202112202013 has 24 divisors (see below), whose sum is σ = 3236110066176. Its totient is φ = 1442607040800.

The previous prime is 2202112201999. The next prime is 2202112202023. The reversal of 2202112202013 is 3102022112022.

2202112202013 is a `hidden beast` number, since 220 + 21 + 1 + 220 + 201 + 3 = 666.

It is not a de Polignac number, because 2202112202013 - 24 = 2202112201997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202112202023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379245 + ... + 2511282.

It is an arithmetic number, because the mean of its divisors is an integer number (134837919424).

Almost surely, 22202112202013 is an apocalyptic number.

It is an amenable number.

2202112202013 is a deficient number, since it is larger than the sum of its proper divisors (1033997864163).

2202112202013 is a wasteful number, since it uses less digits than its factorization.

2202112202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891625 (or 3891622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2202112202013 its reverse (3102022112022), we get a palindrome (5304134314035).

The spelling of 2202112202013 in words is "two trillion, two hundred two billion, one hundred twelve million, two hundred two thousand, thirteen".

Divisors: 1 3 9 61 183 549 1031 3093 9279 62891 188673 566019 3890527 11671581 35014743 237322147 711966441 2135899323 4011133337 12033400011 36100200033 244679133557 734037400671 2202112202013