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23223012100 = 2252269863309
BaseRepresentation
bin10101101000001100…
…110000101100000100
32012221110012020200021
4111220030300230010
5340030042341400
614400221424524
71451326226431
oct255014605404
965843166607
1023223012100
11993786a792
12460140b144
1322613428a2
1411a4380b88
1590dbb271a
hex568330b04

23223012100 has 36 divisors (see below), whose sum is σ = 50581332900. Its totient is φ = 9254661760.

The previous prime is 23223012091. The next prime is 23223012133. The reversal of 23223012100 is 121032232.

It can be written as a sum of positive squares in 6 ways, for example, as 428655616 + 22794356484 = 20704^2 + 150978^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404755 + ... + 458554.

It is an arithmetic number, because the mean of its divisors is an integer number (1405037025).

Almost surely, 223223012100 is an apocalyptic number.

23223012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23223012100 is an abundant number, since it is smaller than the sum of its proper divisors (27358320800).

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

23223012100 is a wasteful number, since it uses less digits than its factorization.

23223012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863592 (or 863585 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23223012100 its reverse (121032232), we get a palindrome (23344044332).

The spelling of 23223012100 in words is "twenty-three billion, two hundred twenty-three million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 5380 6725 13450 26900 863309 1726618 3453236 4316545 8633090 17266180 21582725 43165450 86330900 232230121 464460242 928920484 1161150605 2322301210 4644602420 5805753025 11611506050 23223012100