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210112211120121 = 32103769294744167
BaseRepresentation
bin101111110001100010001111…
…101101001110111111111001
31000112221112100020212211100200
4233301202033231032333321
5210014434302021320441
62022512114532152413
762154051314524662
oct5761421755167771
91015845306784320
10210112211120121
1160a480a7621782
121b6951a2468709
13903165ba3a2ab
1439c56b186a369
15194577a2917b6
hexbf188fb4eff9

210112211120121 has 24 divisors (see below), whose sum is σ = 306840468654720. Its totient is φ = 138534473926656.

The previous prime is 210112211120113. The next prime is 210112211120131. The reversal of 210112211120121 is 121021112211012.

It is a happy number.

210112211120121 is a `hidden beast` number, since 210 + 1 + 1 + 2 + 211 + 120 + 121 = 666.

It is not a de Polignac number, because 210112211120121 - 23 = 210112211120113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210112211120094 and 210112211120103.

It is not an unprimeable number, because it can be changed into a prime (210112211120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146659221 + ... + 148084946.

It is an arithmetic number, because the mean of its divisors is an integer number (12785019527280).

Almost surely, 2210112211120121 is an apocalyptic number.

It is an amenable number.

210112211120121 is a deficient number, since it is larger than the sum of its proper divisors (96728257534599).

210112211120121 is a wasteful number, since it uses less digits than its factorization.

210112211120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294745045 (or 294745042 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 210112211120121 its reverse (121021112211012), we get a palindrome (331133323331133).

The spelling of 210112211120121 in words is "two hundred ten trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 103 309 769 927 2307 6921 79207 237621 712863 294744167 884232501 2652697503 30358649201 91075947603 226658264423 273227842809 679974793269 2039924379807 23345801235569 70037403706707 210112211120121