Search a number
-
+
103033385256 = 23317237974139
BaseRepresentation
bin101111111110101000…
…1001011000100101000
3100211221120111021112210
41133331101023010220
53142003021312011
6115155523005120
710305156216204
oct1377521130450
9324846437483
10103033385256
113a77272936a
1217b758097a0
1399400b2a69
144db5c77b04
152a306c56a6
hex17fd44b128

103033385256 has 192 divisors, whose sum is σ = 283987771200. Its totient is φ = 31118819328.

The previous prime is 103033385183. The next prime is 103033385267. The reversal of 103033385256 is 652583330301.

It is a super-2 number, since 2×1030333852562 (a number of 23 digits) contains 22 as substring.

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, 24891235 + ... + 24895373.

It is an arithmetic number, because the mean of its divisors is an integer number (1479102975).

Almost surely, 2103033385256 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 103033385256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141993885600).

103033385256 is an abundant number, since it is smaller than the sum of its proper divisors (180954385944).

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

103033385256 is a wasteful number, since it uses less digits than its factorization.

103033385256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 103033385256 in words is "one hundred three billion, thirty-three million, three hundred eighty-five thousand, two hundred fifty-six".