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1022100010031 is a prime number
BaseRepresentation
bin11101101111110011110…
…10000111010000101111
310121201012220111020221002
432313321322013100233
5113221230100310111
62101313554230515
7133562406511112
oct16677172072057
93551186436832
101022100010031
1136451989a5a1
1214610b28543b
13754caa65a59
14376815bc579
151b8c1a4c63b
hexedf9e8742f

1022100010031 has 2 divisors, whose sum is σ = 1022100010032. Its totient is φ = 1022100010030.

The previous prime is 1022100010003. The next prime is 1022100010109. The reversal of 1022100010031 is 1300100012201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022100010031 is a prime.

It is a super-2 number, since 2×10221000100312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022100009994 and 1022100010021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022100010831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050005015 + 511050005016.

It is an arithmetic number, because the mean of its divisors is an integer number (511050005016).

Almost surely, 21022100010031 is an apocalyptic number.

1022100010031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022100010031 is an equidigital number, since it uses as much as digits as its factorization.

1022100010031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1022100010031 its reverse (1300100012201), we get a palindrome (2322200022232).

The spelling of 1022100010031 in words is "one trillion, twenty-two billion, one hundred million, ten thousand, thirty-one".