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130022141301 = 3413177263401
BaseRepresentation
bin111100100010111101…
…1000110110101110101
3110102121110121010210000
41321011323012311311
54112241132010201
6135421545421513
712252032652153
oct1710573066565
9412543533700
10130022141301
1150162122228
122124819a899
13c3516577b0
1464163d03d3
1535aec88d86
hex1e45ec6d75

130022141301 has 40 divisors (see below), whose sum is σ = 221475653784. Its totient is φ = 75306931200.

The previous prime is 130022141213. The next prime is 130022141323. The reversal of 130022141301 is 103141220031.

130022141301 is a `hidden beast` number, since 1 + 30 + 0 + 221 + 413 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19432638801 + 110589502500 = 139401^2 + 332550^2 .

It is not a de Polignac number, because 130022141301 - 218 = 130021879157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130022141341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3613800 + ... + 3649601.

Almost surely, 2130022141301 is an apocalyptic number.

It is an amenable number.

130022141301 is a deficient number, since it is larger than the sum of its proper divisors (91453512483).

130022141301 is a wasteful number, since it uses less digits than its factorization.

130022141301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263443 (or 7263434 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130022141301 its reverse (103141220031), we get a palindrome (233163361332).

The spelling of 130022141301 in words is "one hundred thirty billion, twenty-two million, one hundred forty-one thousand, three hundred one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1989 5967 17901 7263401 21790203 65370609 94424213 123477817 196111827 283272639 370433451 588335481 849817917 1111300353 1605211621 2549453751 3333901059 4815634863 7648361253 10001703177 14446904589 43340713767 130022141301