Search a number
-
+
31431000114 = 2325332946541
BaseRepresentation
bin11101010001011011…
…110000000000110010
310000010110222020111100
4131101123300000302
51003332314000424
622234511225230
72161614043563
oct352133600062
9100113866440
1031431000114
1112369a86658
126112218216
132c6b9a8b27
14174250a16a
15c3e593dc9
hex7516f0032

31431000114 has 24 divisors (see below), whose sum is σ = 69385417452. Its totient is φ = 10279320480.

The previous prime is 31431000079. The next prime is 31431000131. The reversal of 31431000114 is 41100013413.

It can be written as a sum of positive squares in 2 ways, for example, as 31206989025 + 224011089 = 176655^2 + 14967^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16472317 + ... + 16474224.

Almost surely, 231431000114 is an apocalyptic number.

31431000114 is an abundant number, since it is smaller than the sum of its proper divisors (37954417338).

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

31431000114 is a wasteful number, since it uses less digits than its factorization.

31431000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32946602 (or 32946599 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31431000114 its reverse (41100013413), we get a palindrome (72531013527).

The spelling of 31431000114 in words is "thirty-one billion, four hundred thirty-one million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 32946541 65893082 98839623 197679246 296518869 593037738 1746166673 3492333346 5238500019 10477000038 15715500057 31431000114