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23223310100 = 2252232233101
BaseRepresentation
bin10101101000001101…
…111001011100010100
32012221110202101110022
4111220031321130110
5340030131410400
614400232044312
71451331610304
oct255015713424
965843671408
1023223310100
119937a53671
124601533698
132261418413
1411a441b604
1590dc20b85
hex568379714

23223310100 has 18 divisors (see below), whose sum is σ = 50394583134. Its totient is φ = 9289324000.

The previous prime is 23223310093. The next prime is 23223310109. The reversal of 23223310100 is 101332232.

It can be written as a sum of positive squares in 3 ways, for example, as 1817104 + 23221492996 = 1348^2 + 152386^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23223310109) 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 5 ways as a sum of consecutive naturals, for example, 116116451 + ... + 116116650.

It is an arithmetic number, because the mean of its divisors is an integer number (2799699063).

Almost surely, 223223310100 is an apocalyptic number.

23223310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23223310100 is an abundant number, since it is smaller than the sum of its proper divisors (27171273034).

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

23223310100 is a wasteful number, since it uses less digits than its factorization.

23223310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232233115 (or 232233108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23223310100 its reverse (101332232), we get a palindrome (23324642332).

The spelling of 23223310100 in words is "twenty-three billion, two hundred twenty-three million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 232233101 464466202 928932404 1161165505 2322331010 4644662020 5805827525 11611655050 23223310100