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21121313029 is a prime number
BaseRepresentation
bin10011101010111011…
…011010100100000101
32000111222110212112221
4103222323122210011
5321224024004104
613411503012341
71345256125045
oct235273324405
960458425487
1021121313029
118a59481103
12411559a0b1
131cb7aab57b
1410451b1725
15839411c54
hex4eaeda905

21121313029 has 2 divisors, whose sum is σ = 21121313030. Its totient is φ = 21121313028.

The previous prime is 21121313027. The next prime is 21121313041. The reversal of 21121313029 is 92031312112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18769548004 + 2351765025 = 137002^2 + 48495^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121313029 - 21 = 21121313027 is a prime.

It is a super-2 number, since 2×211213130292 (a number of 21 digits) contains 22 as substring.

Together with 21121313027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 21121312994 and 21121313012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21121313027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560656514 + 10560656515.

It is an arithmetic number, because the mean of its divisors is an integer number (10560656515).

Almost surely, 221121313029 is an apocalyptic number.

It is an amenable number.

21121313029 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121313029 is an equidigital number, since it uses as much as digits as its factorization.

21121313029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 21121313029 in words is "twenty-one billion, one hundred twenty-one million, three hundred thirteen thousand, twenty-nine".