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2102221112212 = 221361136613337
BaseRepresentation
bin11110100101110110001…
…001001000001110010100
321102222012101220101101001
4132211312021020032110
5233420322101042322
64245425210113044
7304610666423254
oct36456611101624
97388171811331
102102221112212
11740602016411
1229b51171b784
13123314287ba0
1473a688c5964
1539a3c204827
hex1e976248394

2102221112212 has 24 divisors (see below), whose sum is σ = 3962526956136. Its totient is φ = 970097031168.

The previous prime is 2102221112209. The next prime is 2102221112219. The reversal of 2102221112212 is 2122111222012.

It can be written as a sum of positive squares in 4 ways, for example, as 3472037776 + 2098749074436 = 58924^2 + 1448706^2 .

It is a super-3 number, since 3×21022211122123 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102221112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102221112219) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2988793 + ... + 3624544.

It is an arithmetic number, because the mean of its divisors is an integer number (165105289839).

Almost surely, 22102221112212 is an apocalyptic number.

It is an amenable number.

2102221112212 is a deficient number, since it is larger than the sum of its proper divisors (1860305843924).

2102221112212 is a wasteful number, since it uses less digits than its factorization.

2102221112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619467 (or 6619465 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2102221112212 its reverse (2122111222012), we get a palindrome (4224332334224).

The spelling of 2102221112212 in words is "two trillion, one hundred two billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 13 26 52 6113 12226 24452 79469 158938 317876 6613337 13226674 26453348 85973381 171946762 343893524 40427329081 80854658162 161709316324 525555278053 1051110556106 2102221112212