Search a number
-
+
100430310013 = 1179509227053
BaseRepresentation
bin101110110001000011…
…1001110101001111101
3100121020011100100121121
41131202013032221331
53121140124410023
6114045334030541
710153520356435
oct1354207165175
9317204310547
10100430310013
1139657323410
1217569aa8451
139616a04157
144c0a2752c5
15292bdd8d5d
hex17621cea7d

100430310013 has 16 divisors (see below), whose sum is σ = 111165638400. Its totient is φ = 89967084480.

The previous prime is 100430309923. The next prime is 100430310047. The reversal of 100430310013 is 310013034001.

It is a cyclic number.

It is not a de Polignac number, because 100430310013 - 29 = 100430309501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100430313013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328795 + ... + 555847.

It is an arithmetic number, because the mean of its divisors is an integer number (6947852400).

Almost surely, 2100430310013 is an apocalyptic number.

It is an amenable number.

100430310013 is a deficient number, since it is larger than the sum of its proper divisors (10735328387).

100430310013 is a wasteful number, since it uses less digits than its factorization.

100430310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227652.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100430310013 its reverse (310013034001), we get a palindrome (410443344014).

The spelling of 100430310013 in words is "one hundred billion, four hundred thirty million, three hundred ten thousand, thirteen".

Divisors: 1 11 79 509 869 5599 40211 227053 442321 2497583 17937187 115569977 197309057 1271269747 9130028183 100430310013