Search a number
-
+
1023021211013 is a prime number
BaseRepresentation
bin11101110001100001101…
…00001101110110000101
310121210121002220010002222
432320300310031312011
5113230121412223023
62101545222542125
7133624263550214
oct16706064156605
93553532803088
101023021211013
1136495189251a
12146327897945
13756168733a9
143772ba9707b
151b927865cc8
hexee30d0dd85

1023021211013 has 2 divisors, whose sum is σ = 1023021211014. Its totient is φ = 1023021211012.

The previous prime is 1023021210919. The next prime is 1023021211063. The reversal of 1023021211013 is 3101121203201.

1023021211013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 805770136609 + 217251074404 = 897647^2 + 466102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023021211013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023021210982 and 1023021211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023021211063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511510605506 + 511510605507.

It is an arithmetic number, because the mean of its divisors is an integer number (511510605507).

Almost surely, 21023021211013 is an apocalyptic number.

It is an amenable number.

1023021211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023021211013 is an equidigital number, since it uses as much as digits as its factorization.

1023021211013 is an evil number, because the sum of its binary digits is even.

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

Adding to 1023021211013 its reverse (3101121203201), we get a palindrome (4124142414214).

The spelling of 1023021211013 in words is "one trillion, twenty-three billion, twenty-one million, two hundred eleven thousand, thirteen".