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211222220013 = 3273790614423
BaseRepresentation
bin1100010010110111010…
…0110100110011101101
3202012012102212112021200
43010231310310303231
511430040342020023
6241011213120113
721155166150420
oct3045564646355
9665172775250
10211222220013
11816404891a2
1234b29a89039
1316bc22b084c
14a31a6b99b7
1557637ab743
hex312dd34ced

211222220013 has 24 divisors (see below), whose sum is σ = 358108203648. Its totient is φ = 117436290912.

The previous prime is 211222220003. The next prime is 211222220021. The reversal of 211222220013 is 310022222112.

211222220013 is a `hidden beast` number, since 211 + 222 + 220 + 0 + 13 = 666.

It is not a de Polignac number, because 211222220013 - 24 = 211222219997 is a prime.

It is a super-2 number, since 2×2112222200132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222220003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45304881 + ... + 45309542.

It is an arithmetic number, because the mean of its divisors is an integer number (14921175152).

Almost surely, 2211222220013 is an apocalyptic number.

It is an amenable number.

211222220013 is a deficient number, since it is larger than the sum of its proper divisors (146885983635).

211222220013 is a wasteful number, since it uses less digits than its factorization.

211222220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90614473 (or 90614470 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211222220013 its reverse (310022222112), we get a palindrome (521244442125).

The spelling of 211222220013 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, thirteen".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 90614423 271843269 634300961 815529807 1902902883 3352733651 5708708649 10058200953 23469135557 30174602859 70407406671 211222220013