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21122000541 = 3219123520471
BaseRepresentation
bin10011101010111110…
…000010011010011101
32000112000202210122100
4103222332002122131
5321224213004131
613411525435313
71345265020335
oct235276023235
960460683570
1021122000541
118a599006a4
12411586bb39
131cb7c8c495
1410453100c5
158394ea7e6
hex4eaf8269d

21122000541 has 12 divisors (see below), whose sum is σ = 32115322720. Its totient is φ = 13340210760.

The previous prime is 21122000539. The next prime is 21122000587. The reversal of 21122000541 is 14500022112.

21122000541 is a `hidden beast` number, since 2 + 1 + 122 + 0 + 0 + 0 + 541 = 666.

It is not a de Polignac number, because 21122000541 - 21 = 21122000539 is a prime.

It is a super-2 number, since 2×211220005412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122001541) 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 11 ways as a sum of consecutive naturals, for example, 61760065 + ... + 61760406.

Almost surely, 221122000541 is an apocalyptic number.

It is an amenable number.

21122000541 is a deficient number, since it is larger than the sum of its proper divisors (10993322179).

21122000541 is a wasteful number, since it uses less digits than its factorization.

21122000541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123520496 (or 123520493 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 21122000541 its reverse (14500022112), we get a palindrome (35622022653).

The spelling of 21122000541 in words is "twenty-one billion, one hundred twenty-two million, five hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 19 57 171 123520471 370561413 1111684239 2346888949 7040666847 21122000541