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21003331122 = 2321768638337
BaseRepresentation
bin10011100011111001…
…010110011000110010
32000012202110202210200
4103203321112120302
5321003323043442
613352050140030
71342324240344
oct234371263062
960182422720
1021003331122
1189a89185a4
1240a1b81616
131c995100a7
14103365d294
1582dda934c
hex4e3e56632

21003331122 has 24 divisors (see below), whose sum is σ = 48184113276. Its totient is φ = 6589280256.

The previous prime is 21003331121. The next prime is 21003331127. The reversal of 21003331122 is 22113330012.

21003331122 is a `hidden beast` number, since 210 + 0 + 3 + 331 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20638482921 + 364848201 = 143661^2 + 19101^2 .

It is a super-3 number, since 3×210033311223 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 21003331095 and 21003331104.

It is not an unprimeable number, because it can be changed into a prime (21003331121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34318863 + ... + 34319474.

Almost surely, 221003331122 is an apocalyptic number.

21003331122 is an abundant number, since it is smaller than the sum of its proper divisors (27180782154).

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

21003331122 is a wasteful number, since it uses less digits than its factorization.

21003331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68638362 (or 68638359 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21003331122 its reverse (22113330012), we get a palindrome (43116661134).

The spelling of 21003331122 in words is "twenty-one billion, three million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 68638337 137276674 205915011 411830022 617745033 1166851729 1235490066 2333703458 3500555187 7001110374 10501665561 21003331122