Search a number
-
+
100911110029 = 7319112835641
BaseRepresentation
bin101110111111011000…
…1010101011110001101
3100122110200001112020121
41131332301111132031
53123131221010104
6114205151144541
710201446165652
oct1357661253615
9318420045217
10100911110029
11398837665a4
1217682b15151
1396924c5cc2
144c5406dc29
15295920d254
hex177ec5578d

100911110029 has 16 divisors (see below), whose sum is σ = 102927412224. Its totient is φ = 98912966400.

The previous prime is 100911110011. The next prime is 100911110107. The reversal of 100911110029 is 920011119001.

It is a cyclic number.

It is not a de Polignac number, because 100911110029 - 25 = 100911109997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100911109985 and 100911110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100911110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17886049 + ... + 17891689.

It is an arithmetic number, because the mean of its divisors is an integer number (6432963264).

Almost surely, 2100911110029 is an apocalyptic number.

It is an amenable number.

100911110029 is a deficient number, since it is larger than the sum of its proper divisors (2016302195).

100911110029 is a wasteful number, since it uses less digits than its factorization.

100911110029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 100911110029 in words is "one hundred billion, nine hundred eleven million, one hundred ten thousand, twenty-nine".

Divisors: 1 73 191 1283 5641 13943 93659 245053 411793 1077431 7237403 17888869 78652463 528330419 1382343973 100911110029