Search a number
-
+
33131300130 = 23352371163461
BaseRepresentation
bin11110110110110001…
…111000010100100010
310011111222101102122000
4132312301320110202
51020323103101010
623115330424430
72252011255515
oct366661702442
9104458342560
1033131300130
1113061834185
126507732116
13318002bb06
14186426cd7c
15cdd9a67c0
hex7b6c78522

33131300130 has 256 divisors, whose sum is σ = 94267514880. Its totient is φ = 8262777600.

The previous prime is 33131300089. The next prime is 33131300161. The reversal of 33131300130 is 3100313133.

33131300130 is a `hidden beast` number, since 331 + 3 + 1 + 300 + 1 + 30 = 666.

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 127 ways as a sum of consecutive naturals, for example, 71868100 + ... + 71868560.

It is an arithmetic number, because the mean of its divisors is an integer number (368232480).

Almost surely, 233131300130 is an apocalyptic number.

33131300130 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 33131300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47133757440).

33131300130 is an abundant number, since it is smaller than the sum of its proper divisors (61136214750).

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

33131300130 is a wasteful number, since it uses less digits than its factorization.

33131300130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 33131300130 its reverse (3100313133), we get a palindrome (36231613263).

The spelling of 33131300130 in words is "thirty-three billion, one hundred thirty-one million, three hundred thousand, one hundred thirty".