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21312144342 = 23222329318121
BaseRepresentation
bin10011110110010011…
…011000001111010110
32001000021120002220100
4103312103120033112
5322121402104332
613442441114530
71353064144416
oct236623301726
961007502810
1021312144342
119047171535
124169488a46
1320184a54c8
141062688646
1584b05967c
hex4f64d83d6

21312144342 has 48 divisors (see below), whose sum is σ = 46544254848. Its totient is φ = 7047665280.

The previous prime is 21312144331. The next prime is 21312144383. The reversal of 21312144342 is 24344121312.

21312144342 is a `hidden beast` number, since 2 + 1 + 312 + 1 + 4 + 4 + 342 = 666.

It is a super-2 number, since 2×213121443422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1167042 + ... + 1185162.

It is an arithmetic number, because the mean of its divisors is an integer number (969671976).

Almost surely, 221312144342 is an apocalyptic number.

21312144342 is an abundant number, since it is smaller than the sum of its proper divisors (25232110506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21312144342 is a wasteful number, since it uses less digits than its factorization.

21312144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18645 (or 18642 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21312144342 its reverse (24344121312), we get a palindrome (45656265654).

The spelling of 21312144342 in words is "twenty-one billion, three hundred twelve million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 223 293 446 586 669 879 1338 1758 2007 2637 4014 5274 18121 36242 54363 65339 108726 130678 163089 196017 326178 392034 588051 1176102 4040983 5309453 8081966 10618906 12122949 15928359 24245898 31856718 36368847 47785077 72737694 95570154 1184008019 2368016038 3552024057 7104048114 10656072171 21312144342