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21141508961 is a prime number
BaseRepresentation
bin10011101100001000…
…011101001101100001
32000120101110221011102
4103230020131031201
5321244211241321
613413503524145
71345622601236
oct235410351541
960511427142
1021141508961
118a69915661
1241202b9655
131cbc02cc21
141047b4b78d
1583b0a0c0b
hex4ec21d361

21141508961 has 2 divisors, whose sum is σ = 21141508962. Its totient is φ = 21141508960.

The previous prime is 21141508951. The next prime is 21141508963. The reversal of 21141508961 is 16980514112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21090300625 + 51208336 = 145225^2 + 7156^2 .

It is a cyclic number.

It is not a de Polignac number, because 21141508961 - 234 = 3961639777 is a prime.

It is a super-2 number, since 2×211415089612 (a number of 21 digits) contains 22 as substring.

Together with 21141508963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21141508963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10570754480 + 10570754481.

It is an arithmetic number, because the mean of its divisors is an integer number (10570754481).

Almost surely, 221141508961 is an apocalyptic number.

It is an amenable number.

21141508961 is a deficient number, since it is larger than the sum of its proper divisors (1).

21141508961 is an equidigital number, since it uses as much as digits as its factorization.

21141508961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 38.

The spelling of 21141508961 in words is "twenty-one billion, one hundred forty-one million, five hundred eight thousand, nine hundred sixty-one".