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130343191000 = 235311432391153
BaseRepresentation
bin111100101100100001…
…1110100000111011000
3110110102211201011011121
41321121003310013120
54113420324103000
6135513454535024
712263011562131
oct1713103640730
9413384634147
10130343191000
1150307373660
1221317807474
13c3a3015729
146446cc2c88
1535cd054b1a
hex1e590f41d8

130343191000 has 256 divisors, whose sum is σ = 342189619200. Its totient is φ = 46061568000.

The previous prime is 130343190983. The next prime is 130343191007. The reversal of 130343191000 is 191343031.

It is a super-3 number, since 3×1303431910003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130343191007) 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, 113046424 + ... + 113047576.

It is an arithmetic number, because the mean of its divisors is an integer number (1336678200).

Almost surely, 2130343191000 is an apocalyptic number.

130343191000 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 130343191000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171094809600).

130343191000 is an abundant number, since it is smaller than the sum of its proper divisors (211846428200).

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

130343191000 is a wasteful number, since it uses less digits than its factorization.

130343191000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 130343191000 in words is "one hundred thirty billion, three hundred forty-three million, one hundred ninety-one thousand".