Search a number
-
+
31431312312 = 23310127114783
BaseRepresentation
bin11101010001011100…
…111100001110111000
310000010111120002202020
4131101130330032320
51003332403443222
622234522034440
72161616514021
oct352134741670
9100114502666
1031431312312
111236a17a174
126112348a20
132c6ba87c6a
14174258bc48
15c3e60665c
hex75173c3b8

31431312312 has 64 divisors (see below), whose sum is σ = 79402152960. Its totient is φ = 10367376000.

The previous prime is 31431312301. The next prime is 31431312389. The reversal of 31431312312 is 21321313413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 6569073 + ... + 6573855.

It is an arithmetic number, because the mean of its divisors is an integer number (1240658640).

Almost surely, 231431312312 is an apocalyptic number.

It is an amenable number.

31431312312 is an abundant number, since it is smaller than the sum of its proper divisors (47970840648).

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

31431312312 is a wasteful number, since it uses less digits than its factorization.

31431312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7600 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 31431312312 its reverse (21321313413), we get a palindrome (52752625725).

The spelling of 31431312312 in words is "thirty-one billion, four hundred thirty-one million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 2711 4783 5422 8133 9566 10844 14349 16266 19132 21688 28698 32532 38264 57396 65064 114792 273811 483083 547622 821433 966166 1095244 1449249 1642866 1932332 2190488 2898498 3285732 3864664 5796996 6571464 11593992 12966713 25933426 38900139 51866852 77800278 103733704 155600556 311201112 1309638013 2619276026 3928914039 5238552052 7857828078 10477104104 15715656156 31431312312