Search a number
-
+
33131200113 = 32111999167413
BaseRepresentation
bin11110110110110001…
…011111111001110001
310011111222012100102200
4132312301133321301
51020323041400423
623115324333413
72252010361104
oct366661377161
9104458170380
1033131200113
1113061776020
1265076a4269
13317ccc542b
14186424473b
15cdd986d43
hex7b6c5fe71

33131200113 has 24 divisors (see below), whose sum is σ = 52233168000. Its totient is φ = 20069350560.

The previous prime is 33131200033. The next prime is 33131200127. The reversal of 33131200113 is 31100213133.

It is a happy number.

It is not a de Polignac number, because 33131200113 - 29 = 33131199601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33131200153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114195 + ... + 281607.

It is an arithmetic number, because the mean of its divisors is an integer number (2176382000).

Almost surely, 233131200113 is an apocalyptic number.

33131200113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33131200113 is a deficient number, since it is larger than the sum of its proper divisors (19101967887).

33131200113 is a wasteful number, since it uses less digits than its factorization.

33131200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169429 (or 169426 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33131200113 its reverse (31100213133), we get a palindrome (64231413246).

The spelling of 33131200113 in words is "thirty-three billion, one hundred thirty-one million, two hundred thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 99 1999 5997 17991 21989 65967 167413 197901 502239 1506717 1841543 5524629 16573887 334658587 1003975761 3011927283 3681244457 11043733371 33131200113