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100010220211 = 11532633791721
BaseRepresentation
bin101110100100100010…
…0101101101010110011
3100120010212212120202001
41131021010231222303
53114310104021321
6113535530034431
710140226563016
oct1351104555263
9316125776661
10100010220211
1139461186760
1217471278a17
13957a97a5c5
144baa56137d
1529050a7c91
hex174912dab3

100010220211 has 32 divisors (see below), whose sum is σ = 111942673920. Its totient is φ = 88577798400.

The previous prime is 100010220209. The next prime is 100010220239. The reversal of 100010220211 is 112022010001.

It is a cyclic number.

It is not a de Polignac number, because 100010220211 - 21 = 100010220209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010220811) 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 31 ways as a sum of consecutive naturals, for example, 58110831 + ... + 58112551.

It is an arithmetic number, because the mean of its divisors is an integer number (3498208560).

Almost surely, 2100010220211 is an apocalyptic number.

100010220211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100010220211 is a deficient number, since it is larger than the sum of its proper divisors (11932453709).

100010220211 is a wasteful number, since it uses less digits than its factorization.

100010220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100010220211 its reverse (112022010001), we get a palindrome (212032230212).

The spelling of 100010220211 in words is "one hundred billion, ten million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 11 53 263 379 583 1721 2893 4169 13939 18931 20087 91213 99677 153329 220957 452623 652259 1003343 1096447 4978853 5282881 7174849 23989019 34569727 58111691 171544117 263879209 380266997 1886985287 9091838201 100010220211