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2210122011200 = 26521381326257
BaseRepresentation
bin100000001010010101100…
…010011001001001000000
321211021201012110222111012
4200022111202121021000
5242202312213324300
64411152132540052
7315450612062555
oct40122542311100
97737635428435
102210122011200
117823422918a4
122b8405481628
1313054b92018c
1478d82db4a2c
153c754db1435
hex20295899240

2210122011200 has 42 divisors (see below), whose sum is σ = 5438281477746. Its totient is φ = 884048803840.

The previous prime is 2210122011199. The next prime is 2210122011203. The reversal of 2210122011200 is 21102210122.

It can be written as a sum of positive squares in 3 ways, for example, as 41759739904 + 2168362271296 = 204352^2 + 1472536^2 .

It is not an unprimeable number, because it can be changed into a prime (2210122011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 690661529 + ... + 690664728.

Almost surely, 22210122011200 is an apocalyptic number.

2210122011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210122011200 is an abundant number, since it is smaller than the sum of its proper divisors (3228159466546).

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

2210122011200 is a wasteful number, since it uses less digits than its factorization.

2210122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381326279 (or 1381326264 counting only the distinct ones).

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

Adding to 2210122011200 its reverse (21102210122), we get a palindrome (2231224221322).

The spelling of 2210122011200 in words is "two trillion, two hundred ten billion, one hundred twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1381326257 2762652514 5525305028 6906631285 11050610056 13813262570 22101220112 27626525140 34533156425 44202440224 55253050280 69066312850 88404880448 110506100560 138132625700 221012201120 276265251400 442024402240 552530502800 1105061005600 2210122011200