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21122103033 = 32171011366861
BaseRepresentation
bin10011101010111110…
…011011011011111001
32000112000222000020100
4103222332123123321
5321224224244113
613411531550013
71345265625213
oct235276333371
960460860210
1021122103033
118a599706a9
1241158bb309
131cb7cc7025
1410453395b3
1583951ad73
hex4eaf9b6f9

21122103033 has 24 divisors (see below), whose sum is σ = 32624262216. Its totient is φ = 13121856000.

The previous prime is 21122103029. The next prime is 21122103109. The reversal of 21122103033 is 33030122112.

It can be written as a sum of positive squares in 4 ways, for example, as 4759344144 + 16362758889 = 68988^2 + 127917^2 .

It is not a de Polignac number, because 21122103033 - 22 = 21122103029 is a prime.

It is a super-2 number, since 2×211221030332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122102997 and 21122103015.

It is not an unprimeable number, because it can be changed into a prime (21122107033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667978 + ... + 698883.

It is an arithmetic number, because the mean of its divisors is an integer number (1359344259).

Almost surely, 221122103033 is an apocalyptic number.

It is an amenable number.

21122103033 is a deficient number, since it is larger than the sum of its proper divisors (11502159183).

21122103033 is a wasteful number, since it uses less digits than its factorization.

21122103033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366985 (or 1366982 counting only the distinct ones).

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

Adding to 21122103033 its reverse (33030122112), we get a palindrome (54152225145).

The spelling of 21122103033 in words is "twenty-one billion, one hundred twenty-two million, one hundred three thousand, thirty-three".

Divisors: 1 3 9 17 51 101 153 303 909 1717 5151 15453 1366861 4100583 12301749 23236637 69709911 138052961 209129733 414158883 1242476649 2346900337 7040701011 21122103033