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100212122122 = 27291491656563
BaseRepresentation
bin101110101010100011…
…0111010001000001010
3100120122221210021002121
41131111012322020022
53120213300401442
6114011541321454
710145230661230
oct1352506721012
9316587707077
10100212122122
1139555148642
1217508a0628a
1395b074c4a8
144bc92ba950
152917b8a967
hex17551ba20a

100212122122 has 32 divisors (see below), whose sum is σ = 178908912000. Its totient is φ = 41188757568.

The previous prime is 100212122083. The next prime is 100212122137. The reversal of 100212122122 is 221221212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100212122096 and 100212122105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 767788 + ... + 888775.

It is an arithmetic number, because the mean of its divisors is an integer number (5590903500).

Almost surely, 2100212122122 is an apocalyptic number.

100212122122 is a deficient number, since it is larger than the sum of its proper divisors (78696789878).

100212122122 is a wasteful number, since it uses less digits than its factorization.

100212122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656750.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212122122 its reverse (221221212001), we get a palindrome (321433334123).

The spelling of 100212122122 in words is "one hundred billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 14 29 58 149 203 298 406 1043 2086 4321 8642 30247 60494 1656563 3313126 11595941 23191882 48040327 96080654 246827887 336282289 493655774 672564578 1727795209 3455590418 7158008723 14316017446 50106061061 100212122122