Search a number
-
+
10111020112021 is a prime number
BaseRepresentation
bin1001001100100010011111…
…0000110001100010010101
31022210121022101011021211011
42103020213300301202111
52311124332122041041
633300534415212221
72062332334622263
oct223104760614225
938717271137734
1010111020112021
113249072294414
121173700217071
13584607ab49ba
1426d5399b7433
15128026890e81
hex93227c31895

10111020112021 has 2 divisors, whose sum is σ = 10111020112022. Its totient is φ = 10111020112020.

The previous prime is 10111020112013. The next prime is 10111020112049. The reversal of 10111020112021 is 12021102011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5188878523921 + 4922141588100 = 2277911^2 + 2218590^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111020112021 - 23 = 10111020112013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111020111992 and 10111020112010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111020112091) 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, 5055510056010 + 5055510056011.

It is an arithmetic number, because the mean of its divisors is an integer number (5055510056011).

Almost surely, 210111020112021 is an apocalyptic number.

It is an amenable number.

10111020112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111020112021 is an equidigital number, since it uses as much as digits as its factorization.

10111020112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10111020112021 its reverse (12021102011101), we get a palindrome (22132122123122).

The spelling of 10111020112021 in words is "ten trillion, one hundred eleven billion, twenty million, one hundred twelve thousand, twenty-one".