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130633146020 = 2251343531131951
BaseRepresentation
bin111100110101001010…
…1111001111010100100
3110111012001022101200102
41321222111321322210
54120014041133040
6140002333403232
712303132264056
oct1715225717244
9414161271612
10130633146020
1150446007103
1221398939518
13c41b107350
1464735dd8d6
1535e872c515
hex1e6a579ea4

130633146020 has 192 divisors, whose sum is σ = 310891198464. Its totient is φ = 45790617600.

The previous prime is 130633146011. The next prime is 130633146097. The reversal of 130633146020 is 20641336031.

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, 66956045 + ... + 66957995.

It is an arithmetic number, because the mean of its divisors is an integer number (1619224992).

Almost surely, 2130633146020 is an apocalyptic number.

130633146020 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 130633146020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155445599232).

130633146020 is an abundant number, since it is smaller than the sum of its proper divisors (180258052444).

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

130633146020 is a wasteful number, since it uses less digits than its factorization.

130633146020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 130633146020 in words is "one hundred thirty billion, six hundred thirty-three million, one hundred forty-six thousand, twenty".