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21210212122220 = 225111016911381411
BaseRepresentation
bin1001101001010011000110…
…01010001011111001101100
32210002200021011002011202002
410310221203022023321230
510240002003300402340
6113035500435551432
74316246554233002
oct464514312137154
983080234064662
1021210212122220
116838222880760
12246682115b578
13bab1644c89c4
14534818b64a72
1526bad6380715
hex134a6328be6c

21210212122220 has 96 divisors (see below), whose sum is σ = 49142814642432. Its totient is φ = 7625383200000.

The previous prime is 21210212122159. The next prime is 21210212122277. The reversal of 21210212122220 is 2222121201212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21210212122192 and 21210212122201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14663315 + ... + 16044725.

It is an arithmetic number, because the mean of its divisors is an integer number (511904319192).

Almost surely, 221210212122220 is an apocalyptic number.

21210212122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210212122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24571407321216).

21210212122220 is an abundant number, since it is smaller than the sum of its proper divisors (27932602520212).

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

21210212122220 is a wasteful number, since it uses less digits than its factorization.

21210212122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382223 (or 1382221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21210212122220 its reverse (2222121201212), we get a palindrome (23432333323432).

The spelling of 21210212122220 in words is "twenty-one trillion, two hundred ten billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 691 1010 1111 1382 2020 2222 2764 3455 4444 5555 6910 7601 11110 13820 15202 22220 30404 38005 69791 76010 139582 152020 279164 348955 697910 767701 1381411 1395820 1535402 2762822 3070804 3838505 5525644 6907055 7677010 13814110 15195521 15354020 27628220 30391042 60782084 75977605 139522511 151955210 279045022 303910420 558090044 697612555 954555001 1395225110 1534747621 1909110002 2790450220 3069495242 3818220004 4772775005 6138990484 7673738105 9545550010 10500105011 15347476210 19091100020 21000210022 30694952420 42000420044 52500525055 96410055101 105001050110 192820110202 210002100220 385640220404 482050275505 964100551010 1060510606111 1928201102020 2121021212222 4242042424444 5302553030555 10605106061110 21210212122220