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130131002229 = 31722728339719
BaseRepresentation
bin111100100110001101…
…0011000001101110101
3110102220001102211220020
41321030122120031311
54113002014032404
6135440434555353
712254524161024
oct1711432301565
9412801384806
10130131002229
1150208616038
1221278738b59
13c36b081547
146426a4a8bb
1535b95dded9
hex1e4c698375

130131002229 has 32 divisors (see below), whose sum is σ = 185180359680. Its totient is φ = 81001842432.

The previous prime is 130131002227. The next prime is 130131002251. The reversal of 130131002229 is 922200131031.

It is not a de Polignac number, because 130131002229 - 21 = 130131002227 is a prime.

It is a super-2 number, since 2×1301310022292 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130131002199 and 130131002208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131002227) 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, 3256432 + ... + 3296150.

It is an arithmetic number, because the mean of its divisors is an integer number (5786886240).

Almost surely, 2130131002229 is an apocalyptic number.

It is an amenable number.

130131002229 is a deficient number, since it is larger than the sum of its proper divisors (55049357451).

130131002229 is a wasteful number, since it uses less digits than its factorization.

130131002229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40249.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 130131002229 in words is "one hundred thirty billion, one hundred thirty-one million, two thousand, two hundred twenty-nine".

Divisors: 1 3 17 51 227 283 681 849 3859 4811 11577 14433 39719 64241 119157 192723 675223 1092097 2025669 3276291 9016213 11240477 27048639 33721431 153275621 191088109 459826863 573264327 2551588279 7654764837 43377000743 130131002229