Search a number
-
+
130703217841 = 72516472
BaseRepresentation
bin111100110111010000…
…1001101010010110001
3110111100221011102011001
41321232201031102301
54120140010432331
6140013315322001
712304643010100
oct1715641152261
9414327142131
10130703217841
11504816170a9
12213b82b0301
13c42c79c771
14647ca40037
1535ee96e561
hex1e6e84d4b1

130703217841 has 9 divisors (see below), whose sum is σ = 152045462649. Its totient is φ = 112029160404.

The previous prime is 130703217839. The next prime is 130703217859. The reversal of 130703217841 is 148712307031.

It is a happy number.

The square root of 130703217841 is 361529.

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

It is not a de Polignac number, because 130703217841 - 21 = 130703217839 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130703217841.

It is not an unprimeable number, because it can be changed into a prime (130703217811) 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 8 ways as a sum of consecutive naturals, for example, 2504880 + ... + 2556526.

Almost surely, 2130703217841 is an apocalyptic number.

130703217841 is the 361529-th square number.

130703217841 is the 180765-th centered octagonal number.

It is an amenable number.

130703217841 is a deficient number, since it is larger than the sum of its proper divisors (21342244808).

130703217841 is an frugal number, since it uses more digits than its factorization.

130703217841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103308 (or 51654 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 130703217841 in words is "one hundred thirty billion, seven hundred three million, two hundred seventeen thousand, eight hundred forty-one".

Divisors: 1 7 49 51647 361529 2530703 2667412609 18671888263 130703217841