Search a number
-
+
31136301504 = 26310711107
BaseRepresentation
bin11100111111110111…
…100100000111000000
32222100221110000000000
4130333313210013000
51002231343122004
622145343000000
72151405124140
oct347767440700
988327400000
1031136301504
11122286a3190
12604b599000
132c22916059
141715316920
15c23780c39
hex73fde41c0

31136301504 has 616 divisors, whose sum is σ = 116627257728. Its totient is φ = 8011768320.

The previous prime is 31136301481. The next prime is 31136301517. The reversal of 31136301504 is 40510363113.

31136301504 is a `hidden beast` number, since 3 + 1 + 13 + 630 + 15 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (616).

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

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 87 ways as a sum of consecutive naturals, for example, 290993419 + ... + 290993525.

Almost surely, 231136301504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31136301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58313628864).

31136301504 is an abundant number, since it is smaller than the sum of its proper divisors (85490956224).

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

31136301504 is an equidigital number, since it uses as much as digits as its factorization.

31136301504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 31136301504 its reverse (40510363113), we get a palindrome (71646664617).

The spelling of 31136301504 in words is "thirty-one billion, one hundred thirty-six million, three hundred one thousand, five hundred four".