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1022120002031 is a prime number
BaseRepresentation
bin11101101111110110001…
…10011000000111101111
310121201021022002221210112
432313323012120013233
5113221300210031111
62101315550530235
7133563041444612
oct16677306300757
93551238087715
101022120002031
1136452a104907
12146115b0697b
1375501c4563b
1437684104179
151b8c369ae8b
hexedfb1981ef

1022120002031 has 2 divisors, whose sum is σ = 1022120002032. Its totient is φ = 1022120002030.

The previous prime is 1022120001989. The next prime is 1022120002049. The reversal of 1022120002031 is 1302000212201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1022120002031 - 226 = 1022052893167 is a prime.

It is a super-2 number, since 2×10221200020312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022120001997 and 1022120002015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022120002061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511060001015 + 511060001016.

It is an arithmetic number, because the mean of its divisors is an integer number (511060001016).

Almost surely, 21022120002031 is an apocalyptic number.

1022120002031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022120002031 is an equidigital number, since it uses as much as digits as its factorization.

1022120002031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1022120002031 its reverse (1302000212201), we get a palindrome (2324120214232).

The spelling of 1022120002031 in words is "one trillion, twenty-two billion, one hundred twenty million, two thousand, thirty-one".