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201202221100122 = 232113492911670011
BaseRepresentation
bin101101101111111000001010…
…111010101010110001011010
3222101101202002201201202010100
4231233320022322222301122
5202332444122100200442
61551531005132000230
760244244414130234
oct5557701272526132
9871352081652110
10201202221100122
1159122423530880
121a696408900076
138836398a852c8
14379834d11d254
15183dae8c6384c
hexb6fe0aeaac5a

201202221100122 has 48 divisors (see below), whose sum is σ = 476931547965600. Its totient is φ = 60795669808800.

The previous prime is 201202221100103. The next prime is 201202221100129. The reversal of 201202221100122 is 221001122202102.

It is a happy number.

201202221100122 is a `hidden beast` number, since 20 + 1 + 202 + 221 + 100 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201202221100095 and 201202221100104.

It is not an unprimeable number, because it can be changed into a prime (201202221100129) 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, 1455765904 + ... + 1455904107.

It is an arithmetic number, because the mean of its divisors is an integer number (9936073915950).

Almost surely, 2201202221100122 is an apocalyptic number.

201202221100122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201202221100122 is an abundant number, since it is smaller than the sum of its proper divisors (275729326865478).

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

201202221100122 is a wasteful number, since it uses less digits than its factorization.

201202221100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911670379 (or 2911670376 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201202221100122 its reverse (221001122202102), we get a palindrome (422203343302224).

The spelling of 201202221100122 in words is "two hundred one trillion, two hundred two billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 349 698 1047 2094 3141 3839 6282 7678 11517 23034 34551 69102 2911670011 5823340022 8735010033 17470020066 26205030099 32028370121 52410060198 64056740242 96085110363 192170220726 288255331089 576510662178 1016172833839 2032345667678 3048518501517 6097037003034 9145555504551 11177901172229 18291111009102 22355802344458 33533703516687 67067407033374 100601110550061 201202221100122