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21223230100 = 22521712484253
BaseRepresentation
bin10011110001000000…
…001100101010010100
32000210002020210111021
4103301000030222110
5321431121330400
613425543250524
71350634323262
oct236100145224
960702223437
1021223230100
119000a61996
124143749a44
132002c43827
141054941432
1584334471a
hex4f100ca94

21223230100 has 36 divisors (see below), whose sum is σ = 48763496124. Its totient is φ = 7989921280.

The previous prime is 21223230053. The next prime is 21223230107. The reversal of 21223230100 is 103232212.

It can be written as a sum of positive squares in 6 ways, for example, as 1172103696 + 20051126404 = 34236^2 + 141602^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223230107) by changing a digit.

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, 6240427 + ... + 6243826.

It is an arithmetic number, because the mean of its divisors is an integer number (1354541559).

Almost surely, 221223230100 is an apocalyptic number.

21223230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223230100 is an abundant number, since it is smaller than the sum of its proper divisors (27540266024).

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

21223230100 is a wasteful number, since it uses less digits than its factorization.

21223230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12484284 (or 12484277 counting only the distinct ones).

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

Adding to 21223230100 its reverse (103232212), we get a palindrome (21326462312).

The spelling of 21223230100 in words is "twenty-one billion, two hundred twenty-three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 12484253 24968506 49937012 62421265 124842530 212232301 249685060 312106325 424464602 624212650 848929204 1061161505 1248425300 2122323010 4244646020 5305807525 10611615050 21223230100