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212021202102003 = 3472531147742039
BaseRepresentation
bin110000001101010100001000…
…011011111010011011110011
31000210201000210010012112120000
4300031110020123322123303
5210242223410214231003
62030533110130121043
762442012016245510
oct6015241033723363
91023630703175500
10212021202102003
11616137612291a8
121b943167720183
13913c68a405548
143a4dc49404307
15197a25852e1a3
hexc0d5086fa6f3

212021202102003 has 40 divisors (see below), whose sum is σ = 362112194231040. Its totient is φ = 121107103389360.

The previous prime is 212021202101963. The next prime is 212021202102041. The reversal of 212021202102003 is 300201202120212.

212021202102003 is a `hidden beast` number, since 21 + 20 + 212 + 0 + 210 + 200 + 3 = 666.

212021202102003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212021202102003 - 224 = 212021185324787 is a prime.

It is a super-2 number, since 2×2120212021020032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212021202102043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72435943 + ... + 75306096.

It is an arithmetic number, because the mean of its divisors is an integer number (9052804855776).

Almost surely, 2212021202102003 is an apocalyptic number.

212021202102003 is a deficient number, since it is larger than the sum of its proper divisors (150090992129037).

212021202102003 is a wasteful number, since it uses less digits than its factorization.

212021202102003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147744589 (or 147744580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212021202102003 its reverse (300201202120212), we get a palindrome (512222404222215).

The spelling of 212021202102003 in words is "two hundred twelve trillion, twenty-one billion, two hundred two million, one hundred two thousand, three".

Divisors: 1 3 7 9 21 27 63 81 189 567 2531 7593 17717 22779 53151 68337 159453 205011 478359 1435077 147742039 443226117 1034194273 1329678351 3102582819 3989035053 9307748457 11967105159 27923245371 83769736113 373935100709 1121805302127 2617545704963 3365415906381 7852637114889 10096247719143 23557911344667 30288743157429 70673734034001 212021202102003