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130113022221 = 3371352956053
BaseRepresentation
bin111100100101101010…
…1110010100100001101
3110102211210121100222000
41321023111302210031
54112432413202341
6135434553342513
712254215304130
oct1711325624415
9412753540860
10130113022221
11501a9455426
1221272707a39
13c3674276a0
1464244ca217
1535b7c3b8b6
hex1e4b57290d

130113022221 has 32 divisors (see below), whose sum is σ = 237243121920. Its totient is φ = 68631043392.

The previous prime is 130113022079. The next prime is 130113022271. The reversal of 130113022221 is 122220311031.

130113022221 is a `hidden beast` number, since 130 + 11 + 302 + 2 + 221 = 666.

It is not a de Polignac number, because 130113022221 - 213 = 130113014029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130113022194 and 130113022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130113022271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26475570 + ... + 26480483.

It is an arithmetic number, because the mean of its divisors is an integer number (7413847560).

Almost surely, 2130113022221 is an apocalyptic number.

It is an amenable number.

130113022221 is a deficient number, since it is larger than the sum of its proper divisors (107130099699).

130113022221 is a wasteful number, since it uses less digits than its factorization.

130113022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52956082 (or 52956076 counting only the distinct ones).

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

Adding to 130113022221 its reverse (122220311031), we get a palindrome (252333333252).

The spelling of 130113022221 in words is "one hundred thirty billion, one hundred thirteen million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 52956053 158868159 370692371 476604477 688428689 1112077113 1429813431 2065286067 3336231339 4819000823 6195858201 10008694017 14457002469 18587574603 43371007407 130113022221