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23321330100 = 22325225912589
BaseRepresentation
bin10101101110000011…
…110100000110110100
32020012022012022121200
4111232003310012310
5340230230030400
614414053012500
71453632015015
oct255603640664
966168168550
1023321330100
119988312532
12462a324130
132278817913
1411b345500c
15917633b00
hex56e0f41b4

23321330100 has 54 divisors (see below), whose sum is σ = 73099416390. Its totient is φ = 6219021120.

The previous prime is 23321330083. The next prime is 23321330129. The reversal of 23321330100 is 103312332.

23321330100 is a `hidden beast` number, since 2 + 3 + 321 + 330 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8102160144 + 15219169956 = 90012^2 + 123366^2 .

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 12955395 + ... + 12957194.

Almost surely, 223321330100 is an apocalyptic number.

23321330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23321330100 is an abundant number, since it is smaller than the sum of its proper divisors (49778086290).

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

23321330100 is a wasteful number, since it uses less digits than its factorization.

23321330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25912609 (or 25912599 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23321330100 its reverse (103312332), we get a palindrome (23424642432).

The spelling of 23321330100 in words is "twenty-three billion, three hundred twenty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 25912589 51825178 77737767 103650356 129562945 155475534 233213301 259125890 310951068 388688835 466426602 518251780 647814725 777377670 932853204 1166066505 1295629450 1554755340 1943444175 2332133010 2591258900 3886888350 4664266020 5830332525 7773776700 11660665050 23321330100