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31311431327 = 1141271256187
BaseRepresentation
bin11101001010010011…
…101000011010011111
32222211010222111221202
4131022103220122133
51003111211300302
622215000350115
72155632526541
oct351223503237
988733874852
1031311431327
1112308539880
12609a17533b
132c4cca3277
1417306a3691
15c33d26202
hex74a4e869f

31311431327 has 16 divisors (see below), whose sum is σ = 35120300544. Its totient is φ = 27668088000.

The previous prime is 31311431309. The next prime is 31311431329. The reversal of 31311431327 is 72313411313.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 31311431327 - 234 = 14131562143 is a prime.

It is a super-3 number, since 3×313114313273 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31311431327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311431329) 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 15 ways as a sum of consecutive naturals, for example, 5873 + ... + 250314.

It is an arithmetic number, because the mean of its divisors is an integer number (2195018784).

Almost surely, 231311431327 is an apocalyptic number.

31311431327 is a deficient number, since it is larger than the sum of its proper divisors (3808869217).

31311431327 is a wasteful number, since it uses less digits than its factorization.

31311431327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256510.

The product of its digits is 4536, while the sum is 29.

The spelling of 31311431327 in words is "thirty-one billion, three hundred eleven million, four hundred thirty-one thousand, three hundred twenty-seven".

Divisors: 1 11 41 271 451 2981 11111 122221 256187 2818057 10503667 69426677 115540337 763693447 2846493757 31311431327