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21022212000100 = 2252210222120001
BaseRepresentation
bin1001100011110100111010…
…11110101000100101100100
32202102201000002200110002011
410301322131132220211210
510223411442233000400
6112413245412524004
74266543003453463
oct461723536504544
982381002613064
1021022212000100
116775519698403
1224362b4320604
13b965032ca8ac
145296a266c9da
15266c816558ba
hex131e9d7a8964

21022212000100 has 18 divisors (see below), whose sum is σ = 45618200040434. Its totient is φ = 8408884800000.

The previous prime is 21022212000029. The next prime is 21022212000107. The reversal of 21022212000100 is 100021222012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 484148772864 + 20538063227236 = 695808^2 + 4531894^2 .

It is not an unprimeable number, because it can be changed into a prime (21022212000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105111059901 + ... + 105111060100.

Almost surely, 221022212000100 is an apocalyptic number.

21022212000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022212000100 is an abundant number, since it is smaller than the sum of its proper divisors (24595988040334).

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

21022212000100 is a wasteful number, since it uses less digits than its factorization.

21022212000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210222120015 (or 210222120008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21022212000100 its reverse (100021222012), we get a palindrome (21122233222112).

The spelling of 21022212000100 in words is "twenty-one trillion, twenty-two billion, two hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 210222120001 420444240002 840888480004 1051110600005 2102221200010 4204442400020 5255553000025 10511106000050 21022212000100