Search a number
-
+
21212202112100 = 2252212122021121
BaseRepresentation
bin1001101001010110110011…
…10001011001010001100100
32210002212101211121010122222
410310223121301121101210
510240020042220041400
6113040430124211512
74316350066663526
oct464533161312144
983085354533588
1021212202112100
11683905410059a
122467097699b98
13bab3c08799cc
14534967175a16
1526bba0e17185
hex134ad9c59464

21212202112100 has 18 divisors (see below), whose sum is σ = 46030478583474. Its totient is φ = 8484880844800.

The previous prime is 21212202112039. The next prime is 21212202112117. The reversal of 21212202112100 is 121120221212.

It can be written as a sum of positive squares in 3 ways, for example, as 195533764864 + 21016668347236 = 442192^2 + 4584394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106061010461 + ... + 106061010660.

It is an arithmetic number, because the mean of its divisors is an integer number (2557248810193).

Almost surely, 221212202112100 is an apocalyptic number.

21212202112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212202112100 is an abundant number, since it is smaller than the sum of its proper divisors (24818276471374).

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

21212202112100 is a wasteful number, since it uses less digits than its factorization.

21212202112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212122021135 (or 212122021128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21212202112100 its reverse (121120221212), we get a palindrome (21333322333312).

The spelling of 21212202112100 in words is "twenty-one trillion, two hundred twelve billion, two hundred two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 212122021121 424244042242 848488084484 1060610105605 2121220211210 4242440422420 5303050528025 10606101056050 21212202112100