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130503730009 = 292124572
BaseRepresentation
bin111100110001010100…
…0001110001101011001
3110110212000210101021211
41321202220032031121
54114232423330014
6135541431503121
712300001254652
oct1714250161531
9413760711254
10130503730009
1150389a53a24
1221361527aa1
13c3ca364623
146460352529
1535dc1b6cc4
hex1e62a0e359

130503730009 has 9 divisors (see below), whose sum is σ = 135169886397. Its totient is φ = 125993486304.

The previous prime is 130503729953. The next prime is 130503730031. The reversal of 130503730009 is 900037305031.

The square root of 130503730009 is 361253.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17626545225 + 112877184784 = 132765^2 + 335972^2 .

It is not a de Polignac number, because 130503730009 - 233 = 121913795417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130503730069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10470109 + ... + 10482565.

Almost surely, 2130503730009 is an apocalyptic number.

130503730009 is the 361253-rd square number.

130503730009 is the 180627-th centered octagonal number.

It is an amenable number.

130503730009 is a deficient number, since it is larger than the sum of its proper divisors (4666156388).

130503730009 is an frugal number, since it uses more digits than its factorization.

130503730009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24972 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 31.

The spelling of 130503730009 in words is "one hundred thirty billion, five hundred three million, seven hundred thirty thousand, nine".

Divisors: 1 29 841 12457 361253 10476337 155176849 4500128621 130503730009