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31213313334 = 2337106377681
BaseRepresentation
bin11101000100011101…
…010101110100110110
32222120022100121101000
4131010131111310312
51002411102011314
622201133344130
72153331533340
oct350435256466
988508317330
1031213313334
1112268113325
126071338046
132c3586b298
141721642290
15c2a3e4209
hex744755d36

31213313334 has 64 divisors (see below), whose sum is σ = 79347502080. Its totient is φ = 8909585280.

The previous prime is 31213313333. The next prime is 31213313347. The reversal of 31213313334 is 43331331213.

31213313334 is a `hidden beast` number, since 3 + 1 + 2 + 13 + 313 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31213313298 and 31213313307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213313333) 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 31 ways as a sum of consecutive naturals, for example, 362974 + ... + 440654.

It is an arithmetic number, because the mean of its divisors is an integer number (1239804720).

Almost surely, 231213313334 is an apocalyptic number.

31213313334 is an abundant number, since it is smaller than the sum of its proper divisors (48134188746).

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

31213313334 is a wasteful number, since it uses less digits than its factorization.

31213313334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78762 (or 78756 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 31213313334 its reverse (43331331213), we get a palindrome (74544644547).

The spelling of 31213313334 in words is "thirty-one billion, two hundred thirteen million, three hundred thirteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1063 2126 3189 6378 7441 9567 14882 19134 22323 28701 44646 57402 66969 77681 133938 155362 200907 233043 401814 466086 543767 699129 1087534 1398258 1631301 2097387 3262602 4194774 4893903 9787806 14681709 29363418 82574903 165149806 247724709 495449418 578024321 743174127 1156048642 1486348254 1734072963 2229522381 3468145926 4459044762 5202218889 10404437778 15606656667 31213313334