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23044313013121 is a prime number
BaseRepresentation
bin1010011110101011011000…
…00101110101101110000001
310000121000101210111002100001
411033111230011311232001
511010024223112404441
6121002224455200001
74565616362462041
oct517255405655601
9100530353432301
1023044313013121
117385046a28404
122702185976001
13cb20b95c085a
145994ca475721
1529e67ea66731
hex14f56c175b81

23044313013121 has 2 divisors, whose sum is σ = 23044313013122. Its totient is φ = 23044313013120.

The previous prime is 23044313013091. The next prime is 23044313013133. The reversal of 23044313013121 is 12131031344032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12233625475600 + 10810687537521 = 3497660^2 + 3287961^2 .

It is a cyclic number.

It is not a de Polignac number, because 23044313013121 - 231 = 23042165529473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23044313013121.

It is not a weakly prime, because it can be changed into another prime (23044313013221) 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, 11522156506560 + 11522156506561.

It is an arithmetic number, because the mean of its divisors is an integer number (11522156506561).

Almost surely, 223044313013121 is an apocalyptic number.

It is an amenable number.

23044313013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

23044313013121 is an equidigital number, since it uses as much as digits as its factorization.

23044313013121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 23044313013121 its reverse (12131031344032), we get a palindrome (35175344357153).

The spelling of 23044313013121 in words is "twenty-three trillion, forty-four billion, three hundred thirteen million, thirteen thousand, one hundred twenty-one".