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10222120212 = 22373131281317
BaseRepresentation
bin10011000010100100…
…10010110100010100
3222101101201111202220
421201102102310110
5131413330321322
64410155302340
7511212405513
oct114122226424
928341644686
1010222120212
114376136237
121b9344a9b0
13c6ba1ac55
146cd86267a
153ec63655c
hex261492d14

10222120212 has 96 divisors (see below), whose sum is σ = 24526744704. Its totient is φ = 3312691200.

The previous prime is 10222120199. The next prime is 10222120219. The reversal of 10222120212 is 21202122201.

It is a junction number, because it is equal to n+sod(n) for n = 10222120191 and 10222120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222120219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32246278 + ... + 32246594.

It is an arithmetic number, because the mean of its divisors is an integer number (255486924).

Almost surely, 210222120212 is an apocalyptic number.

10222120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222120212 is an abundant number, since it is smaller than the sum of its proper divisors (14304624492).

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

10222120212 is a wasteful number, since it uses less digits than its factorization.

10222120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222120212 its reverse (21202122201), we get a palindrome (31424242413).

The spelling of 10222120212 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 73 131 146 219 262 281 292 317 393 438 524 562 634 786 843 876 951 1124 1268 1572 1686 1902 3372 3804 9563 19126 20513 23141 28689 36811 38252 41026 41527 46282 57378 61539 69423 73622 82052 83054 89077 92564 110433 114756 123078 124581 138846 147244 166108 178154 220866 246156 249162 267231 277692 356308 441732 498324 534462 1068924 2687203 3031471 5374406 6062942 6502621 8061609 9094413 10748812 11669087 12125884 13005242 16123218 18188826 19507863 23338174 26010484 32246436 35007261 36377652 39015726 46676348 70014522 78031452 140029044 851843351 1703686702 2555530053 3407373404 5111060106 10222120212