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100212312231 = 3216649668791
BaseRepresentation
bin101110101010100011…
…1101000100010100111
3100120122222010220212200
41131111013220202213
53120213322442411
6114011545345543
710145232412413
oct1352507504247
9316588126780
10100212312231
1139555268459
1217508a982b3
1395b07b7b95
144bc9329d43
152917bc6e56
hex17551e88a7

100212312231 has 12 divisors (see below), whose sum is σ = 144760028400. Its totient is φ = 66804095520.

The previous prime is 100212312191. The next prime is 100212312241. The reversal of 100212312231 is 132213212001.

100212312231 is a `hidden beast` number, since 100 + 21 + 2 + 312 + 231 = 666.

It is not a de Polignac number, because 100212312231 - 222 = 100208117927 is a prime.

It is a super-2 number, since 2×1002123122312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212312241) 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 11 ways as a sum of consecutive naturals, for example, 184555 + ... + 484236.

It is an arithmetic number, because the mean of its divisors is an integer number (12063335700).

Almost surely, 2100212312231 is an apocalyptic number.

100212312231 is a deficient number, since it is larger than the sum of its proper divisors (44547716169).

100212312231 is a wasteful number, since it uses less digits than its factorization.

100212312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685446 (or 685443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100212312231 its reverse (132213212001), we get a palindrome (232425524232).

The spelling of 100212312231 in words is "one hundred billion, two hundred twelve million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 16649 49947 149841 668791 2006373 6019119 11134701359 33404104077 100212312231