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101412442413 = 32171999331579
BaseRepresentation
bin101111001110010100…
…1110001000100101101
3100200202121101211222200
41132130221301010231
53130143041124123
6114331020332113
710220044352262
oct1363451610455
9320677354880
10101412442413
113a010752a87
12177a29a4039
139742326699
144ca0891269
15298823b143
hex179ca7112d

101412442413 has 24 divisors (see below), whose sum is σ = 155179440000. Its totient is φ = 63599313024.

The previous prime is 101412442367. The next prime is 101412442457. The reversal of 101412442413 is 314244214101.

101412442413 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 244 + 2 + 413 = 666.

It is not a de Polignac number, because 101412442413 - 29 = 101412441901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412441413) 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 23 ways as a sum of consecutive naturals, for example, 140058 + ... + 471636.

It is an arithmetic number, because the mean of its divisors is an integer number (6465810000).

Almost surely, 2101412442413 is an apocalyptic number.

It is an amenable number.

101412442413 is a deficient number, since it is larger than the sum of its proper divisors (53766997587).

101412442413 is a wasteful number, since it uses less digits than its factorization.

101412442413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333601 (or 333598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101412442413 its reverse (314244214101), we get a palindrome (415656656514).

The spelling of 101412442413 in words is "one hundred one billion, four hundred twelve million, four hundred forty-two thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 153 1999 5997 17991 33983 101949 305847 331579 994737 2984211 5636843 16910529 50731587 662826421 1988479263 5965437789 11268049157 33804147471 101412442413