Search a number
-
+
23123032002 = 2327183516127
BaseRepresentation
bin10101100010001111…
…010111011111000010
32012200111001201202200
4111202033113133002
5334323444011002
614342250454030
71446003346320
oct254217273702
965614051680
1023123032002
119896392204
124593a34316
132246708175
141194d96d10
15905013b1c
hex5623d77c2

23123032002 has 24 divisors (see below), whose sum is σ = 57257031936. Its totient is φ = 6606580536.

The previous prime is 23123031983. The next prime is 23123032013. The reversal of 23123032002 is 20023032132.

It is a happy number.

23123032002 is a `hidden beast` number, since 2 + 312 + 30 + 320 + 0 + 2 = 666.

It is a super-2 number, since 2×231230320022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 91757938 + ... + 91758189.

It is an arithmetic number, because the mean of its divisors is an integer number (2385709664).

Almost surely, 223123032002 is an apocalyptic number.

23123032002 is an abundant number, since it is smaller than the sum of its proper divisors (34133999934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23123032002 is a wasteful number, since it uses less digits than its factorization.

23123032002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183516142 (or 183516139 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23123032002 its reverse (20023032132), we get a palindrome (43146064134).

The spelling of 23123032002 in words is "twenty-three billion, one hundred twenty-three million, thirty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 183516127 367032254 550548381 1101096762 1284612889 1651645143 2569225778 3303290286 3853838667 7707677334 11561516001 23123032002