Search a number
-
+
31606241130 = 232541103137607
BaseRepresentation
bin11101011011111000…
…001111011101101010
310000120200201101222100
4131123320033131222
51004212144204010
622304131234230
72166142421412
oct353370173552
9100520641870
1031606241130
1112449998842
126160a48976
132c990a4839
14175b8c5642
15c4eb5c2c0
hex75be0f76a

31606241130 has 192 divisors, whose sum is σ = 85759285248. Its totient is φ = 8070174720.

The previous prime is 31606241119. The next prime is 31606241141. The reversal of 31606241130 is 3114260613.

31606241130 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 624 + 1 + 1 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (31606241119) and next prime (31606241141).

It is a junction number, because it is equal to n+sod(n) for n = 31606241094 and 31606241103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52069287 + ... + 52069893.

It is an arithmetic number, because the mean of its divisors is an integer number (446662944).

Almost surely, 231606241130 is an apocalyptic number.

31606241130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31606241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42879642624).

31606241130 is an abundant number, since it is smaller than the sum of its proper divisors (54153044118).

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

31606241130 is a wasteful number, since it uses less digits than its factorization.

31606241130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 31606241130 in words is "thirty-one billion, six hundred six million, two hundred forty-one thousand, one hundred thirty".