Search a number
-
+
22121231002021 is a prime number
BaseRepresentation
bin1010000011110100000000…
…00111011010100110100101
32220022202202121211100102201
411001322000013122212211
510344413240114031041
6115014204144134501
74442130504031354
oct501720007324645
986282677740381
1022121231002021
11705961a223a88
1225932ab607431
13c4603ba8ca18
1456695d73399b
15285655e2a631
hex141e801da9a5

22121231002021 has 2 divisors, whose sum is σ = 22121231002022. Its totient is φ = 22121231002020.

The previous prime is 22121231002019. The next prime is 22121231002051. The reversal of 22121231002021 is 12020013212122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19605324284100 + 2515906717921 = 4427790^2 + 1586161^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121231002021 - 21 = 22121231002019 is a prime.

It is a super-2 number, since 2×221212310020212 (a number of 27 digits) contains 22 as substring.

Together with 22121231002019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 22121231002021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121231002051) 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, 11060615501010 + 11060615501011.

It is an arithmetic number, because the mean of its divisors is an integer number (11060615501011).

Almost surely, 222121231002021 is an apocalyptic number.

It is an amenable number.

22121231002021 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121231002021 is an equidigital number, since it uses as much as digits as its factorization.

22121231002021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 22121231002021 its reverse (12020013212122), we get a palindrome (34141244214143).

The spelling of 22121231002021 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred thirty-one million, two thousand, twenty-one".