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100100222211 = 31137313735923
BaseRepresentation
bin101110100111001110…
…0000010110100000011
3100120101011020011021110
41131032130002310003
53120001124102321
6113552503054403
710142401564353
oct1351634026403
9316334204243
10100100222211
11394a7a69580
1217497441403
139593500422
144bb84acb63
15290ce35176
hex174e702d03

100100222211 has 32 divisors (see below), whose sum is σ = 146121668352. Its totient is φ = 60449880960.

The previous prime is 100100222197. The next prime is 100100222219. The reversal of 100100222211 is 112222001001.

It is not a de Polignac number, because 100100222211 - 26 = 100100222147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100222219) 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 31 ways as a sum of consecutive naturals, for example, 16897296 + ... + 16903218.

It is an arithmetic number, because the mean of its divisors is an integer number (4566302136).

Almost surely, 2100100222211 is an apocalyptic number.

100100222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100222211 is a deficient number, since it is larger than the sum of its proper divisors (46021446141).

100100222211 is a wasteful number, since it uses less digits than its factorization.

100100222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100100222211 its reverse (112222001001), we get a palindrome (212322223212).

The spelling of 100100222211 in words is "one hundred billion, one hundred million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 11 33 373 1119 1373 4103 4119 5923 12309 15103 17769 45309 65153 195459 512129 1536387 2209279 5633419 6627837 8132279 16900257 24302069 24396837 72906207 89455069 268365207 3033340067 9100020201 33366740737 100100222211