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23100960100 = 2252151992
BaseRepresentation
bin10101100000111011…
…001010110101100100
32012121221112100210211
4111200323022311210
5334302321210400
614340141425204
71445314630621
oct254073126544
965557470724
1023100960100
119884987269
12458856b204
132241c7a97a
14119208d348
15903103dba
hex560ecad64

23100960100 has 27 divisors (see below), whose sum is σ = 50132381817. Its totient is φ = 9239776080.

The previous prime is 23100960079. The next prime is 23100960109. The reversal of 23100960100 is 106900132.

The square root of 23100960100 is 151990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8316345636 + 14784614464 = 91194^2 + 121592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23100960109) 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 8 ways as a sum of consecutive naturals, for example, 1512301 + ... + 1527499.

Almost surely, 223100960100 is an apocalyptic number.

23100960100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23100960100 is the 151990-th square number.

It is an amenable number.

23100960100 is an abundant number, since it is smaller than the sum of its proper divisors (27031421717).

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

23100960100 is an frugal number, since it uses more digits than its factorization.

23100960100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30412 (or 15206 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Multiplying 23100960100 by its product of nonzero digits (324), we get a square (7484711072400 = 27358202).

The spelling of 23100960100 in words is "twenty-three billion, one hundred million, nine hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15199 30398 60796 75995 151990 303980 379975 759950 1519900 231009601 462019202 924038404 1155048005 2310096010 4620192020 5775240025 11550480050 23100960100