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130554312780 = 2235193728310937
BaseRepresentation
bin111100110010110100…
…1001011100001001100
3110110222112222020210210
41321211221023201030
54114333401002110
6135550440002420
712301154230413
oct1714551134114
9413875866723
10130554312780
1150405562571
1221376460410
13c407995068
146466d5c47a
1535e1859520
hex1e65a4b84c

130554312780 has 192 divisors, whose sum is σ = 396624130560. Its totient is φ = 31974414336.

The previous prime is 130554312523. The next prime is 130554312781. The reversal of 130554312780 is 87213455031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130554312781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11931472 + ... + 11942408.

It is an arithmetic number, because the mean of its divisors is an integer number (2065750680).

Almost surely, 2130554312780 is an apocalyptic number.

130554312780 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 130554312780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198312065280).

130554312780 is an abundant number, since it is smaller than the sum of its proper divisors (266069817780).

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

130554312780 is a wasteful number, since it uses less digits than its factorization.

130554312780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11288 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 130554312780 in words is "one hundred thirty billion, five hundred fifty-four million, three hundred twelve thousand, seven hundred eighty".