Search a number
-
+
103181703307761 = 3132645684700199
BaseRepresentation
bin10111011101011111011100…
…110001011110000111110001
3111112100002000022102012222010
4113131133130301132013301
5102011012112021322021
61003241004202433133
730506426540056311
oct2735373461360761
9445302008365863
10103181703307761
112a9711296373a1
12b6a537b8027a9
134575cba4543b0
141b6a041c0b441
15bdded6025976
hex5dd7dcc5e1f1

103181703307761 has 8 divisors (see below), whose sum is σ = 148158343211200. Its totient is φ = 63496432804752.

The previous prime is 103181703307723. The next prime is 103181703307807. The reversal of 103181703307761 is 167703307181301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 103181703307761 - 219 = 103181702783473 is a prime.

It is the 10157840-th Hogben number.

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 103181703307761.

It is not an unprimeable number, because it can be changed into a prime (103181703307261) by changing a digit.

It is a nontrivial repunit in base 10157839.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322842350061 + ... + 1322842350138.

It is an arithmetic number, because the mean of its divisors is an integer number (18519792901400).

Almost surely, 2103181703307761 is an apocalyptic number.

It is an amenable number.

103181703307761 is a deficient number, since it is larger than the sum of its proper divisors (44976639903439).

103181703307761 is a wasteful number, since it uses less digits than its factorization.

103181703307761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645684700215.

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 103181703307761 in words is "one hundred three trillion, one hundred eighty-one billion, seven hundred three million, three hundred seven thousand, seven hundred sixty-one".

Divisors: 1 3 13 39 2645684700199 7937054100597 34393901102587 103181703307761