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21210212220100 = 22521371548190673
BaseRepresentation
bin1001101001010011000110…
…01010100011110011000100
32210002200021011021011000021
410310221203022203303010
510240002003312020400
6113035500442024524
74316246555121241
oct464514312436304
983080234234007
1021210212220100
116838222938252
1224668211a8144
13bab164531417
14534818b8c5c8
1526bad639e71a
hex134a632a3cc4

21210212220100 has 36 divisors (see below), whose sum is σ = 46362117923604. Its totient is φ = 8422157255680.

The previous prime is 21210212220073. The next prime is 21210212220181. The reversal of 21210212220100 is 102221201212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 797291839744 + 20412920380356 = 892912^2 + 4518066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774081637 + ... + 774109036.

It is an arithmetic number, because the mean of its divisors is an integer number (1287836608989).

Almost surely, 221210212220100 is an apocalyptic number.

21210212220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210212220100 is an abundant number, since it is smaller than the sum of its proper divisors (25151905703504).

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

21210212220100 is a wasteful number, since it uses less digits than its factorization.

21210212220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548190824 (or 1548190817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21210212220100 its reverse (102221201212), we get a palindrome (21312433421312).

The spelling of 21210212220100 in words is "twenty-one trillion, two hundred ten billion, two hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6850 13700 1548190673 3096381346 6192762692 7740953365 15481906730 30963813460 38704766825 77409533650 154819067300 212102122201 424204244402 848408488804 1060510611005 2121021222010 4242042444020 5302553055025 10605106110050 21210212220100