Search a number
-
+
103334702328 = 2332111310992077
BaseRepresentation
bin110000000111100111…
…0100110110011111000
3100212201120110202212100
41200033032212303320
53143112140433303
6115245445143400
710315505322504
oct1401716466370
9325646422770
10103334702328
113a907822340
121803a6bab60
13998a6521a0
145003cb1304
152a4bd948a3
hex180f3a6cf8

103334702328 has 192 divisors, whose sum is σ = 331812280800. Its totient is φ = 28639319040.

The previous prime is 103334702309. The next prime is 103334702411. The reversal of 103334702328 is 823207433301.

103334702328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 103334702292 and 103334702301.

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 47 ways as a sum of consecutive naturals, for example, 1076226 + ... + 1168302.

Almost surely, 2103334702328 is an apocalyptic number.

103334702328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103334702328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165906140400).

103334702328 is an abundant number, since it is smaller than the sum of its proper divisors (228477578472).

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

103334702328 is a wasteful number, since it uses less digits than its factorization.

103334702328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92222 (or 92215 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 103334702328 in words is "one hundred three billion, three hundred thirty-four million, seven hundred two thousand, three hundred twenty-eight".