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21112123301 is a prime number
BaseRepresentation
bin10011101010011000…
…010110111110100101
32000111100011222121122
4103222120112332211
5321214200421201
613410534023325
71345115041613
oct235230267645
960440158548
1021112123301
118a54274795
1241124a7b45
131cb5c11769
141043c9c6b3
158386e8e1b
hex4ea616fa5

21112123301 has 2 divisors, whose sum is σ = 21112123302. Its totient is φ = 21112123300.

The previous prime is 21112123289. The next prime is 21112123309. The reversal of 21112123301 is 10332121112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19106427076 + 2005696225 = 138226^2 + 44785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21112123301 is a prime.

It is a super-3 number, since 3×211121233013 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21112123301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21112123309) 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 as a sum of consecutive naturals, namely, 10556061650 + 10556061651.

It is an arithmetic number, because the mean of its divisors is an integer number (10556061651).

Almost surely, 221112123301 is an apocalyptic number.

It is an amenable number.

21112123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112123301 is an equidigital number, since it uses as much as digits as its factorization.

21112123301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21112123301 its reverse (10332121112), we get a palindrome (31444244413).

The spelling of 21112123301 in words is "twenty-one billion, one hundred twelve million, one hundred twenty-three thousand, three hundred one".