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130055202 = 232172231087
BaseRepresentation
bin1111100000001…
…11110000100010
3100001201111012100
413300013300202
5231243231302
620523311230
73136310454
oct760076042
9301644170
10130055202
116745a442
123767b516
1320c37954
14133b62d4
15b63ed1c
hex7c07c22

130055202 has 72 divisors (see below), whose sum is σ = 312638976. Its totient is φ = 38991744.

The previous prime is 130055153. The next prime is 130055207. The reversal of 130055202 is 202550031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130055207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119103 + ... + 120189.

It is an arithmetic number, because the mean of its divisors is an integer number (4342208).

Almost surely, 2130055202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130055202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156319488).

130055202 is an abundant number, since it is smaller than the sum of its proper divisors (182583774).

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

130055202 is a wasteful number, since it uses less digits than its factorization.

130055202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 130055202 is about 11404.1747619019. The cubic root of 130055202 is about 506.6513948729.

The spelling of 130055202 in words is "one hundred thirty million, fifty-five thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 289 306 391 414 578 782 867 1087 1173 1734 2174 2346 2601 3261 3519 5202 6522 6647 7038 9783 13294 18479 19566 19941 25001 36958 39882 50002 55437 59823 75003 110874 119646 150006 166311 225009 314143 332622 425017 450018 628286 850034 942429 1275051 1884858 2550102 2827287 3825153 5654574 7225289 7650306 14450578 21675867 43351734 65027601 130055202