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130232209129 = 1125326192
BaseRepresentation
bin111100101001001110…
…0011100111011101001
3110110011002212200122221
41321102130130323221
54113203421143004
6135454452114041
712260163340621
oct1712234347351
9413132780587
10130232209129
115025a761300
12212a6605921
13c386028499
146436273881
1535c3431354
hex1e5271cee9

130232209129 has 27 divisors (see below), whose sum is σ = 146135745399. Its totient is φ = 115971432720.

The previous prime is 130232209127. The next prime is 130232209141. The reversal of 130232209129 is 921902232031.

The square root of 130232209129 is 360877.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 93884024025 + 36348185104 = 306405^2 + 190652^2 .

It is not a de Polignac number, because 130232209129 - 21 = 130232209127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130232209094 and 130232209103.

It is not an unprimeable number, because it can be changed into a prime (130232209127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210390982 + ... + 210391600.

Almost surely, 2130232209129 is an apocalyptic number.

130232209129 is the 360877-th square number.

130232209129 is the 180439-th centered octagonal number.

It is an amenable number.

130232209129 is a deficient number, since it is larger than the sum of its proper divisors (15903536270).

130232209129 is an frugal number, since it uses more digits than its factorization.

130232209129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 130232209129 in words is "one hundred thirty billion, two hundred thirty-two million, two hundred nine thousand, one hundred twenty-nine".

Divisors: 1 11 53 121 583 619 2809 6413 6809 30899 32807 74899 339889 360877 383161 1738771 3969647 4214771 19126481 20307533 46362481 210391291 223382863 1076299249 2457211493 11839291739 130232209129