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21121221220 = 22511313306727
BaseRepresentation
bin10011101010111011…
…000100001001100100
32000111222022012121121
4103222323010021210
5321224013034340
613411501023324
71345255263301
oct235273041144
960458265547
1021121221220
118a59419130
124115554b44
131cb7a78848
14104518a0a8
158393e494a
hex4eaec4264

21121221220 has 48 divisors (see below), whose sum is σ = 48541546368. Its totient is φ = 7655880960.

The previous prime is 21121221193. The next prime is 21121221221. The reversal of 21121221220 is 2212212112.

It is a happy number.

It is a super-2 number, since 2×211212212202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121221194 and 21121221203.

It is not an unprimeable number, because it can be changed into a prime (21121221221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84504 + ... + 222223.

It is an arithmetic number, because the mean of its divisors is an integer number (1011282216).

Almost surely, 221121221220 is an apocalyptic number.

21121221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121221220 is an abundant number, since it is smaller than the sum of its proper divisors (27420325148).

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

21121221220 is a wasteful number, since it uses less digits than its factorization.

21121221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307060 (or 307058 counting only the distinct ones).

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

Adding to 21121221220 its reverse (2212212112), we get a palindrome (23333433332).

The spelling of 21121221220 in words is "twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 3130 3443 6260 6886 13772 17215 34430 68860 306727 613454 1226908 1533635 3067270 3373997 6134540 6747994 13495988 16869985 33739970 67479940 96005551 192011102 384022204 480027755 960055510 1056061061 1920111020 2112122122 4224244244 5280305305 10560610610 21121221220