Search a number
-
+
100600506005 = 51279130312073
BaseRepresentation
bin101110110110001000…
…0011110011010010101
3100121200000121012121212
41131230100132122111
53122012212143010
6114114253551205
710160655122606
oct1355420363225
9317600535555
10100600506005
11397343aa15a
12175b6aa5505
13964305473c
144c24ad9dad
15293bd07505
hex176c41e695

100600506005 has 16 divisors (see below), whose sum is σ = 120917729280. Its totient is φ = 80349107328.

The previous prime is 100600505981. The next prime is 100600506007. The reversal of 100600506005 is 500605006001.

It is a cyclic number.

It is not a de Polignac number, because 100600506005 - 220 = 100599457429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100600506007) 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 15 ways as a sum of consecutive naturals, for example, 8326649 + ... + 8338721.

It is an arithmetic number, because the mean of its divisors is an integer number (7557358080).

Almost surely, 2100600506005 is an apocalyptic number.

It is an amenable number.

100600506005 is a deficient number, since it is larger than the sum of its proper divisors (20317223275).

100600506005 is a wasteful number, since it uses less digits than its factorization.

100600506005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660.

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 100600506005 in words is "one hundred billion, six hundred million, five hundred six thousand, five".

Divisors: 1 5 1279 1303 6395 6515 12073 60365 1666537 8332685 15441367 15731119 77206835 78655595 20120101201 100600506005