Search a number
-
+
100032023 = 7136471699
BaseRepresentation
bin1011111011001…
…01111000010111
320222020011010202
411331211320113
5201102011043
613532011115
72323154360
oct575457027
9228204122
10100032023
11515135a3
1229600a9b
1317955260
14d3dcb67
158bae1b8
hex5f65e17

100032023 has 16 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 78977376.

The previous prime is 100032019. The next prime is 100032059. The reversal of 100032023 is 320230001.

It is a cyclic number.

It is not a de Polignac number, because 100032023 - 22 = 100032019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100031995 and 100032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58028 + ... + 59726.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2100032023 is an apocalyptic number.

100032023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100032023 is a deficient number, since it is larger than the sum of its proper divisors (23347177).

100032023 is a wasteful number, since it uses less digits than its factorization.

100032023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 100032023 is about 10001.6010218365. The cubic root of 100032023 is about 464.2084239399.

Adding to 100032023 its reverse (320230001), we get a palindrome (420262024).

The spelling of 100032023 in words is "one hundred million, thirty-two thousand, twenty-three".

Divisors: 1 7 13 91 647 1699 4529 8411 11893 22087 58877 154609 1099253 7694771 14290289 100032023