Search a number
-
+
100339297344 = 263311132391699
BaseRepresentation
bin101110101110010110…
…0000010110001000000
3100120222211002102201000
41131130230002301000
53120443330003334
6114032323212000
710151333645406
oct1353454026100
9316884072630
10100339297344
113960aa10230
1217543517000
139600bb92c0
144bdc143476
152923e0c299
hex175cb02c40

100339297344 has 448 divisors, whose sum is σ = 348203520000. Its totient is φ = 27933050880.

The previous prime is 100339297327. The next prime is 100339297367. The reversal of 100339297344 is 443792933001.

100339297344 is a `hidden beast` number, since 10 + 0 + 3 + 3 + 9 + 297 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100339297344.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59057007 + ... + 59058705.

It is an arithmetic number, because the mean of its divisors is an integer number (777240000).

Almost surely, 2100339297344 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 100339297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760000).

100339297344 is an abundant number, since it is smaller than the sum of its proper divisors (247864222656).

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

100339297344 is a wasteful number, since it uses less digits than its factorization.

100339297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 100339297344 in words is "one hundred billion, three hundred thirty-nine million, two hundred ninety-seven thousand, three hundred forty-four".