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10222110010212 = 22317596191372043
BaseRepresentation
bin1001010011000000010100…
…1111000110101101100100
31100012020001102101211102220
42110300011033012231210
52314434340130311322
633423550021232340
72103344262313422
oct224600517065544
940166042354386
1010222110010212
11329119967a131
121191143b626b0
13591c30036579
14274a7782a112
1512ad794c655c
hex94c053c6b64

10222110010212 has 96 divisors (see below), whose sum is σ = 25724178547200. Its totient is φ = 3147486300672.

The previous prime is 10222110010201. The next prime is 10222110010243. The reversal of 10222110010212 is 21201001122201.

It is a junction number, because it is equal to n+sod(n) for n = 10222110010191 and 10222110010200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6764263 + ... + 8136305.

It is an arithmetic number, because the mean of its divisors is an integer number (267960193200).

Almost surely, 210222110010212 is an apocalyptic number.

10222110010212 is a gapful number since it is divisible by the number (12) 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 10222110010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862089273600).

10222110010212 is an abundant number, since it is smaller than the sum of its proper divisors (15502068536988).

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

10222110010212 is a wasteful number, since it uses less digits than its factorization.

10222110010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372745 (or 1372743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10222110010212 its reverse (21201001122201), we get a palindrome (31423111132413).

The spelling of 10222110010212 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 619 708 1003 1238 1857 2006 2476 3009 3714 4012 6018 7428 10523 12036 21046 31569 36521 42092 63138 73042 109563 126276 146084 219126 438252 620857 1241714 1372043 1862571 2483428 2744086 3725142 4116129 5488172 7450284 8232258 16464516 23324731 46649462 69974193 80950537 93298924 139948386 161901074 242851611 279896772 323802148 485703222 849294617 971406444 1376159129 1698589234 2547883851 2752318258 3397178468 4128477387 5095767702 5504636516 8256954774 10191535404 14438008489 16513909548 28876016978 43314025467 50108382403 57752033956 86628050934 100216764806 150325147209 173256101868 200433529612 300650294418 601300588836 851842500851 1703685001702 2555527502553 3407370003404 5111055005106 10222110010212