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10212212221 = 232292332857
BaseRepresentation
bin10011000001011000…
…11111110111111101
3222100201002010120021
421200230133313331
5131403311242341
64405203052141
7511032241321
oct114054376775
928321063507
1010212212221
114370589212
121b90071051
13c6995c233
146cc403981
153eb82a9d1
hex260b1fdfd

10212212221 has 24 divisors (see below), whose sum is σ = 11094927480. Its totient is φ = 9387603456.

The previous prime is 10212212209. The next prime is 10212212249. The reversal of 10212212221 is 12221221201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1101509721 + 9110702500 = 33189^2 + 95450^2 .

It is not a de Polignac number, because 10212212221 - 213 = 10212204029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10212212195 and 10212212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212212251) 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, 3573025 + ... + 3575881.

It is an arithmetic number, because the mean of its divisors is an integer number (462288645).

Almost surely, 210212212221 is an apocalyptic number.

It is an amenable number.

10212212221 is a deficient number, since it is larger than the sum of its proper divisors (882715259).

10212212221 is a wasteful number, since it uses less digits than its factorization.

10212212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3142 counting only the distinct ones).

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

Adding to 10212212221 its reverse (12221221201), we get a palindrome (22433433422).

The spelling of 10212212221 in words is "ten billion, two hundred twelve million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 23 29 233 529 667 2857 5359 6757 15341 65711 82853 123257 155411 665681 1511353 1905619 3574453 15310663 19304749 43829237 352145249 444009227 10212212221