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130122869760 = 21032513217219
BaseRepresentation
bin111100100101111101…
…1010110110000000000
3110102212111010200020200
41321023323112300000
54112442423313020
6135435544405200
712254365100142
oct1711373266000
9412774120220
10130122869760
1150203a70a94
1221275a76800
13c369494a30
146425930c92
1535b8a34590
hex1e4bed6c00

130122869760 has 264 divisors, whose sum is σ = 485557079280. Its totient is φ = 32030097408.

The previous prime is 130122869741. The next prime is 130122869783. The reversal of 130122869760 is 67968221031.

130122869760 is a `hidden beast` number, since 1 + 301 + 2 + 286 + 9 + 7 + 60 = 666.

It is a super-2 number, since 2×1301228697602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490431 + ... + 707649.

Almost surely, 2130122869760 is an apocalyptic number.

130122869760 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 130122869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242778539640).

130122869760 is an abundant number, since it is smaller than the sum of its proper divisors (355434209520).

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

130122869760 is a wasteful number, since it uses less digits than its factorization.

130122869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217263 (or 217242 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 130122869760 in words is "one hundred thirty billion, one hundred twenty-two million, eight hundred sixty-nine thousand, seven hundred sixty".