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130202202123305 = 5133754138129781
BaseRepresentation
bin11101100110101100010000…
…000000011010110000101001
3122002000012122022222102112122
4131212230100000122300221
5114031213102220421210
61140530022123121025
736265540642330154
oct3546542000326051
9562005568872478
10130202202123305
1138539497809244
121272a086073175
135786026b9a2b0
142421b6a910c9b
15100bcd1008b55
hex766b1001ac29

130202202123305 has 16 divisors (see below), whose sum is σ = 172808910264144. Its totient is φ = 93550688259840.

The previous prime is 130202202123289. The next prime is 130202202123337. The reversal of 130202202123305 is 503321202202031.

It can be written as a sum of positive squares in 8 ways, for example, as 2988459008656 + 127213743114649 = 1728716^2 + 11278907^2 .

It is not a de Polignac number, because 130202202123305 - 24 = 130202202123289 is a prime.

It is a super-2 number, since 2×1302022021233052 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27069062486 + ... + 27069067295.

It is an arithmetic number, because the mean of its divisors is an integer number (10800556891509).

Almost surely, 2130202202123305 is an apocalyptic number.

It is an amenable number.

130202202123305 is a deficient number, since it is larger than the sum of its proper divisors (42606708140839).

130202202123305 is a wasteful number, since it uses less digits than its factorization.

130202202123305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54138129836.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 130202202123305 its reverse (503321202202031), we get a palindrome (633523404325336).

The spelling of 130202202123305 in words is "one hundred thirty trillion, two hundred two billion, two hundred two million, one hundred twenty-three thousand, three hundred five".

Divisors: 1 5 13 37 65 185 481 2405 54138129781 270690648905 703795687153 2003110801897 3518978435765 10015554009485 26040440424661 130202202123305