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21312233001100 = 2252213122330011
BaseRepresentation
bin1001101100010001001000…
…00100111101000010001100
32210110102121011100210122201
410312020210010331002030
510243134423122013400
6113154412113251244
74326521000342446
oct466104404750214
983412534323581
1021312233001100
116877515a13a98
122482553863b24
13bb79728b2c62
14539736357496
1526e5a7c0406a
hex13622413d08c

21312233001100 has 18 divisors (see below), whose sum is σ = 46247545612604. Its totient is φ = 8524893200400.

The previous prime is 21312233001091. The next prime is 21312233001109. The reversal of 21312233001100 is 110033221312.

21312233001100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (21312233001091) and next prime (21312233001109).

It is a super-2 number, since 2×213122330011002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21312233001109) 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, 106561164906 + ... + 106561165105.

Almost surely, 221312233001100 is an apocalyptic number.

21312233001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312233001100 is an abundant number, since it is smaller than the sum of its proper divisors (24935312611504).

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

21312233001100 is a wasteful number, since it uses less digits than its factorization.

21312233001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213122330025 (or 213122330018 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21312233001100 its reverse (110033221312), we get a palindrome (21422266222412).

The spelling of 21312233001100 in words is "twenty-one trillion, three hundred twelve billion, two hundred thirty-three million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 213122330011 426244660022 852489320044 1065611650055 2131223300110 4262446600220 5328058250275 10656116500550 21312233001100