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211222000222112 = 2511254551136421
BaseRepresentation
bin110000000001101011110100…
…010010101011111110100000
31000200212121220100212111112102
4300001223310102223332200
5210141130124024101422
62025122014120145532
762330200033330325
oct6001536422537640
91020777810774472
10211222000222112
1161335824640a00
121b8342a46082a8
1390b21c29011b9
143a232b1078b4c
151964580342192
hexc01af44abfa0

211222000222112 has 36 divisors (see below), whose sum is σ = 457083972079938. Its totient is φ = 96010000099200.

The previous prime is 211222000222067. The next prime is 211222000222117.

211222000222112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 164529979301776 + 46692020920336 = 12826924^2 + 6833156^2 .

It is a super-2 number, since 2×2112220002221122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222000222117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27275564339 + ... + 27275572082.

Almost surely, 2211222000222112 is an apocalyptic number.

211222000222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211222000222112 is an abundant number, since it is smaller than the sum of its proper divisors (245861971857826).

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

211222000222112 is a wasteful number, since it uses less digits than its factorization.

211222000222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54551136453 (or 54551136434 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 211222000 and 222112, that added together give a palindrome (211444112).

The spelling of 211222000222112 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 54551136421 109102272842 218204545684 436409091368 600062500631 872818182736 1200125001262 1745636365472 2400250002524 4800500005048 6600687506941 9601000010096 13201375013882 19202000020192 26402750027764 52805500055528 105611000111056 211222000222112