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130949371980 = 223357281912289
BaseRepresentation
bin111100111110100110…
…0001101100001001100
3110112000002100100011000
41321331030031201030
54121141014400410
6140053551300300
712314022203460
oct1717514154114
9415002310130
10130949371980
1150598563379
122146681a690
13c46b7967bb
1464a35d84a0
153616393dc0
hex1e7d30d84c

130949371980 has 192 divisors, whose sum is σ = 465800832000. Its totient is φ = 29918232576.

The previous prime is 130949371963. The next prime is 130949371999. The reversal of 130949371980 is 89173949031.

It is a happy number.

130949371980 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 493 + 71 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 10649676 + ... + 10661964.

It is an arithmetic number, because the mean of its divisors is an integer number (2426046000).

Almost surely, 2130949371980 is an apocalyptic number.

130949371980 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 130949371980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232900416000).

130949371980 is an abundant number, since it is smaller than the sum of its proper divisors (334851460020).

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

130949371980 is a wasteful number, since it uses less digits than its factorization.

130949371980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133 (or 15125 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 130949371980 in words is "one hundred thirty billion, nine hundred forty-nine million, three hundred seventy-one thousand, nine hundred eighty".