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130133210202 = 2351039257713
BaseRepresentation
bin111100100110010001…
…0110011010001011010
3110102220012121000200000
41321030202303101122
54113003100211302
6135440554153430
712254552015202
oct1711442632132
9412805530600
10130133210202
1150209893a06
1221279422876
13c36b675538
146427063402
1535b98c831c
hex1e4c8b345a

130133210202 has 48 divisors (see below), whose sum is σ = 292680635520. Its totient is φ = 43335819072.

The previous prime is 130133210197. The next prime is 130133210209. The reversal of 130133210202 is 202012331031.

130133210202 is a `hidden beast` number, since 1 + 301 + 332 + 10 + 20 + 2 = 666.

It is a super-3 number, since 3×1301332102023 (a number of 34 digits) contains 333 as substring.

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 (130133210209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376098 + ... + 633810.

It is an arithmetic number, because the mean of its divisors is an integer number (6097513240).

Almost surely, 2130133210202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130133210202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146340317760).

130133210202 is an abundant number, since it is smaller than the sum of its proper divisors (162547425318).

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

130133210202 is a wasteful number, since it uses less digits than its factorization.

130133210202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258769 (or 258757 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130133210202 its reverse (202012331031), we get a palindrome (332145541233).

The spelling of 130133210202 in words is "one hundred thirty billion, one hundred thirty-three million, two hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1039 2078 3117 6234 9351 18702 28053 56106 84159 168318 252477 257713 504954 515426 773139 1546278 2319417 4638834 6958251 13916502 20874753 41749506 62624259 125248518 267763807 535527614 803291421 1606582842 2409874263 4819748526 7229622789 14459245578 21688868367 43377736734 65066605101 130133210202