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221122101010212 = 223237191869149651
BaseRepresentation
bin110010010001110000000000…
…010010000101111100100100
31001222221001210102002222101200
4302101300000102011330210
5212440331030324311322
62102142031342322500
764401354540503163
oct6221600022057444
91058831712088350
10221122101010212
11645023a1419476
1220972b40289430
13964c9560a83cc
143c8651c6a13da
151a86d5ed088ac
hexc91c00485f24

221122101010212 has 72 divisors (see below), whose sum is σ = 577059743350272. Its totient is φ = 71339803272000.

The previous prime is 221122101010163. The next prime is 221122101010271. The reversal of 221122101010212 is 212010101221122.

221122101010212 is a `hidden beast` number, since 2 + 211 + 221 + 0 + 10 + 10 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434320414 + ... + 434829237.

Almost surely, 2221122101010212 is an apocalyptic number.

It is an amenable number.

221122101010212 is an abundant number, since it is smaller than the sum of its proper divisors (355937642340060).

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

221122101010212 is a wasteful number, since it uses less digits than its factorization.

221122101010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869149889 (or 869149884 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221122101010212 its reverse (212010101221122), we get a palindrome (433132202231334).

The spelling of 221122101010212 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred one million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 191 222 333 382 444 573 666 764 1146 1332 1719 2292 3438 6876 7067 14134 21201 28268 42402 63603 84804 127206 254412 869149651 1738299302 2607448953 3476598604 5214897906 7822346859 10429795812 15644693718 31289387436 32158537087 64317074174 96475611261 128634148348 166007583341 192951222522 289426833783 332015166682 385902445044 498022750023 578853667566 664030333364 996045500046 1157707335132 1494068250069 1992091000092 2988136500138 5976273000276 6142280583617 12284561167234 18426841750851 24569122334468 36853683501702 55280525252553 73707367003404 110561050505106 221122101010212