Search a number
-
+
130154357760 = 2103572352631
BaseRepresentation
bin111100100110111001…
…1011110010000000000
3110102221200101102122220
41321031303132100000
54113024003422020
6135443031331040
712255226533660
oct1711563362000
9412850342586
10130154357760
115021a818429
1221284520a80
13c372b6b09b
146429baa1a0
1535bb6a4240
hex1e4dcde400

130154357760 has 352 divisors, whose sum is σ = 496455340032. Its totient is φ = 28455567360.

The previous prime is 130154357701. The next prime is 130154357807. The reversal of 130154357760 is 67753451031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2446645 + ... + 2499275.

Almost surely, 2130154357760 is an apocalyptic number.

130154357760 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 130154357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248227670016).

130154357760 is an abundant number, since it is smaller than the sum of its proper divisors (366300982272).

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

130154357760 is a wasteful number, since it uses less digits than its factorization.

130154357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52689 (or 52671 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 130154357760 in words is "one hundred thirty billion, one hundred fifty-four million, three hundred fifty-seven thousand, seven hundred sixty".