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21211230100 = 2252212112301
BaseRepresentation
bin10011110000010010…
…011010111110010100
32000202020200010120211
4103300102122332110
5321420033330400
613424434135204
71350430323664
oct236022327624
960666603524
1021211230100
118aa5206135
12413b721504
132000601838
1410530da1a4
15842273dba
hex4f049af94

21211230100 has 18 divisors (see below), whose sum is σ = 46028369534. Its totient is φ = 8484492000.

The previous prime is 21211230091. The next prime is 21211230107. The reversal of 21211230100 is 103211212.

It can be written as a sum of positive squares in 3 ways, for example, as 1342636164 + 19868593936 = 36642^2 + 140956^2 .

It is a super-3 number, since 3×212112301003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211230107) 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, 106056051 + ... + 106056250.

Almost surely, 221211230100 is an apocalyptic number.

21211230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211230100 is an abundant number, since it is smaller than the sum of its proper divisors (24817139434).

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

21211230100 is a wasteful number, since it uses less digits than its factorization.

21211230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212112315 (or 212112308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21211230100 its reverse (103211212), we get a palindrome (21314441312).

The spelling of 21211230100 in words is "twenty-one billion, two hundred eleven million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 212112301 424224602 848449204 1060561505 2121123010 4242246020 5302807525 10605615050 21211230100