Search a number
-
+
22400341131881 is a prime number
BaseRepresentation
bin1010001011111011111000…
…11000000100001001101001
32221022110012021210000120202
411011331330120010021221
510414001344312210011
6115350324043001545
74501241223011366
oct505757430041151
987273167700522
1022400341131881
117156a27658699
122619404b092b5
13c6645ca5600b
1457627a30d46d
1528ca3e69323b
hex145f7c604269

22400341131881 has 2 divisors, whose sum is σ = 22400341131882. Its totient is φ = 22400341131880.

The previous prime is 22400341131869. The next prime is 22400341132031. The reversal of 22400341131881 is 18813114300422.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21234502664281 + 1165838467600 = 4608091^2 + 1079740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22400341131881 is a prime.

It is a super-2 number, since 2×224003411318812 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22400341131821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11200170565940 + 11200170565941.

It is an arithmetic number, because the mean of its divisors is an integer number (11200170565941).

Almost surely, 222400341131881 is an apocalyptic number.

It is an amenable number.

22400341131881 is a deficient number, since it is larger than the sum of its proper divisors (1).

22400341131881 is an equidigital number, since it uses as much as digits as its factorization.

22400341131881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 22400341131881 in words is "twenty-two trillion, four hundred billion, three hundred forty-one million, one hundred thirty-one thousand, eight hundred eighty-one".