Search a number
-
+
10023411432 = 233733569771
BaseRepresentation
bin10010101010111000…
…10001111011101000
3221212112211001120110
421111130101323220
5131011443131212
64334340254320
7503250406566
oct112534217350
927775731513
1010023411432
114283a55401
121b389a13a0
13c397c65a8
146b12d8a36
153d9e84a3c
hex255711ee8

10023411432 has 32 divisors (see below), whose sum is σ = 25092758880. Its totient is φ = 3336573120.

The previous prime is 10023411403. The next prime is 10023411467. The reversal of 10023411432 is 23411432001.

10023411432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10023411399 and 10023411408.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 267294 + ... + 302477.

It is an arithmetic number, because the mean of its divisors is an integer number (784148715).

Almost surely, 210023411432 is an apocalyptic number.

10023411432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023411432 is an abundant number, since it is smaller than the sum of its proper divisors (15069347448).

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

10023411432 is a wasteful number, since it uses less digits than its factorization.

10023411432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570513 (or 570509 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10023411432 its reverse (23411432001), we get a palindrome (33434843433).

The spelling of 10023411432 in words is "ten billion, twenty-three million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 733 1466 2199 2932 4398 5864 8796 17592 569771 1139542 1709313 2279084 3418626 4558168 6837252 13674504 417642143 835284286 1252926429 1670568572 2505852858 3341137144 5011705716 10023411432