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21142220013 = 326438534283
BaseRepresentation
bin10011101100001011…
…001010110011101101
32000120102211001112200
4103230023022303231
5321244402020023
613413531052113
71345631622255
oct235413126355
960512731480
1021142220013
118a6a260902
1241205a1039
131cbc21b775
141047c94965
1583b191743
hex4ec2caced

21142220013 has 24 divisors (see below), whose sum is σ = 30629263392. Its totient is φ = 14053112928.

The previous prime is 21142220009. The next prime is 21142220027. The reversal of 21142220013 is 31002224112.

It is a happy number.

21142220013 is a `hidden beast` number, since 211 + 422 + 20 + 0 + 13 = 666.

It is not a de Polignac number, because 21142220013 - 22 = 21142220009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142220003) 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 23 ways as a sum of consecutive naturals, for example, 4934170 + ... + 4938452.

It is an arithmetic number, because the mean of its divisors is an integer number (1276219308).

Almost surely, 221142220013 is an apocalyptic number.

It is an amenable number.

21142220013 is a deficient number, since it is larger than the sum of its proper divisors (9487043379).

21142220013 is a wasteful number, since it uses less digits than its factorization.

21142220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5782 counting only the distinct ones).

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

Adding to 21142220013 its reverse (31002224112), we get a palindrome (52144444125).

The spelling of 21142220013 in words is "twenty-one billion, one hundred forty-two million, two hundred twenty thousand, thirteen".

Divisors: 1 3 9 643 853 1929 2559 4283 5787 7677 12849 38547 548479 1645437 2753969 3653399 4936311 8261907 10960197 24785721 32880591 2349135557 7047406671 21142220013