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21142101331 = 1323319122159
BaseRepresentation
bin10011101100001010…
…101101110101010011
32000120102121000202001
4103230022231311103
5321244334220311
613413524334431
71345630616251
oct235412556523
960512530661
1021142101331
118a6a18a71a
124120544417
131cbc1a9740
141047c635d1
1583b16b4c1
hex4ec2add53

21142101331 has 16 divisors (see below), whose sum is σ = 23766865920. Its totient is φ = 18660581280.

The previous prime is 21142101319. The next prime is 21142101349. The reversal of 21142101331 is 13310124112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21142101331 is a prime.

It is a super-2 number, since 2×211421013312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21142101299 and 21142101308.

It is not an unprimeable number, because it can be changed into a prime (21142101311) 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 15 ways as a sum of consecutive naturals, for example, 943030 + ... + 965188.

It is an arithmetic number, because the mean of its divisors is an integer number (1485429120).

Almost surely, 221142101331 is an apocalyptic number.

21142101331 is a deficient number, since it is larger than the sum of its proper divisors (2624764589).

21142101331 is a wasteful number, since it uses less digits than its factorization.

21142101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25386.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 21142101331 its reverse (13310124112), we get a palindrome (34452225443).

The spelling of 21142101331 in words is "twenty-one billion, one hundred forty-two million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 13 23 299 3191 22159 41483 73393 288067 509657 954109 6625541 70709369 919221797 1626315487 21142101331