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23101435040 = 255144383969
BaseRepresentation
bin10101100000111100…
…111110110010100000
32012121222102111022012
4111200330332302200
5334302431410130
614340155532052
71445321646365
oct254074766240
965558374265
1023101435040
119885181082
12458875a028
1322420b5bb8
14119217446c
15903199995
hex560f3eca0

23101435040 has 24 divisors (see below), whose sum is σ = 54577140660. Its totient is φ = 9240573952.

The previous prime is 23101434893. The next prime is 23101435051. The reversal of 23101435040 is 4053410132.

It can be written as a sum of positive squares in 2 ways, for example, as 21912288784 + 1189146256 = 148028^2 + 34484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23101434997 and 23101435015.

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 3 ways as a sum of consecutive naturals, for example, 72191825 + ... + 72192144.

Almost surely, 223101435040 is an apocalyptic number.

23101435040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23101435040 is an abundant number, since it is smaller than the sum of its proper divisors (31475705620).

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

23101435040 is a wasteful number, since it uses less digits than its factorization.

23101435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144383984 (or 144383976 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 23101435040 its reverse (4053410132), we get a palindrome (27154845172).

The spelling of 23101435040 in words is "twenty-three billion, one hundred one million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 144383969 288767938 577535876 721919845 1155071752 1443839690 2310143504 2887679380 4620287008 5775358760 11550717520 23101435040