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1022001233131 is a prime number
BaseRepresentation
bin11101101111101000000…
…01010011110011101011
310121200222000121212111101
432313310001103303223
5113221024303430011
62101300105142231
7133560100101604
oct16676401236353
93550860555441
101022001233131
11364479063a9a
121460a218a977
13754b345cb98
1437672428dab
151b8b803a2c1
hexedf4053ceb

1022001233131 has 2 divisors, whose sum is σ = 1022001233132. Its totient is φ = 1022001233130.

The previous prime is 1022001233119. The next prime is 1022001233173. The reversal of 1022001233131 is 1313321002201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022001233131 is a prime.

It is a super-2 number, since 2×10220012331312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022001233099 and 1022001233108.

It is not a weakly prime, because it can be changed into another prime (1022001233101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511000616565 + 511000616566.

It is an arithmetic number, because the mean of its divisors is an integer number (511000616566).

Almost surely, 21022001233131 is an apocalyptic number.

1022001233131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022001233131 is an equidigital number, since it uses as much as digits as its factorization.

1022001233131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1022001233131 its reverse (1313321002201), we get a palindrome (2335322235332).

It can be divided in two parts, 102200 and 1233131, that added together give a palindrome (1335331).

The spelling of 1022001233131 in words is "one trillion, twenty-two billion, one million, two hundred thirty-three thousand, one hundred thirty-one".