Search a number
-
+
31135900068 = 2235721350287
BaseRepresentation
bin11100111111110110…
…000010000110100100
32222100220200121100000
4130333312002012210
51002231242300233
622145330221300
72151401532600
oct347766020644
988326617300
1031135900068
1112228449619
12604b424830
132c22805410
141715250500
15c23701d13
hex73fd821a4

31135900068 has 216 divisors, whose sum is σ = 102250791552. Its totient is φ = 8211502656.

The previous prime is 31135899961. The next prime is 31135900069. The reversal of 31135900068 is 86000953113.

It is a happy number.

31135900068 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 590 + 0 + 0 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31135900069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 594021 + ... + 644307.

Almost surely, 231135900068 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 31135900068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51125395776).

31135900068 is an abundant number, since it is smaller than the sum of its proper divisors (71114891484).

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

31135900068 is a wasteful number, since it uses less digits than its factorization.

31135900068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50333 (or 50312 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 31135900068 in words is "thirty-one billion, one hundred thirty-five million, nine hundred thousand, sixty-eight".