Search a number
-
+
130173970320 = 24335235989499
BaseRepresentation
bin111100100111011111…
…0010010011110010000
3110110000001021212001000
41321032332102132100
54113044014022240
6135445011542000
712255555330312
oct1711676223620
9413001255030
10130173970320
115022a8a3659
122128abba900
13c376c47054
14642c6337b2
1535bd27a430
hex1e4ef92790

130173970320 has 640 divisors, whose sum is σ = 482112000000. Its totient is φ = 32209588224.

The previous prime is 130173970309. The next prime is 130173970357. The reversal of 130173970320 is 23079371031.

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

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, 260869431 + ... + 260869929.

It is an arithmetic number, because the mean of its divisors is an integer number (753300000).

Almost surely, 2130173970320 is an apocalyptic number.

130173970320 is a gapful number since it is divisible by the number (10) 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 130173970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000000).

130173970320 is an abundant number, since it is smaller than the sum of its proper divisors (351938029680).

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

130173970320 is a wasteful number, since it uses less digits than its factorization.

130173970320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 130173970320 in words is "one hundred thirty billion, one hundred seventy-three million, nine hundred seventy thousand, three hundred twenty".