Search a number
-
+
226015141143101 is a prime number
BaseRepresentation
bin110011011000111101000000…
…001100111010001000111101
31002122020211120210100212202012
4303120331000030322020331
5214111013002113034401
62120405531125541005
765415024615421142
oct6330750014721075
91078224523325665
10226015141143101
1166019534a77742
12214232b9574765
1399161a076917b
143db52969163c9
151b1e28c2a28bb
hexcd8f4033a23d

226015141143101 has 2 divisors, whose sum is σ = 226015141143102. Its totient is φ = 226015141143100.

The previous prime is 226015141143089. The next prime is 226015141143137. The reversal of 226015141143101 is 101341141510622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204869812599076 + 21145328544025 = 14313274^2 + 4598405^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226015141143101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226015141149101) 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, 113007570571550 + 113007570571551.

It is an arithmetic number, because the mean of its divisors is an integer number (113007570571551).

Almost surely, 2226015141143101 is an apocalyptic number.

It is an amenable number.

226015141143101 is a deficient number, since it is larger than the sum of its proper divisors (1).

226015141143101 is an equidigital number, since it uses as much as digits as its factorization.

226015141143101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 226015141143101 its reverse (101341141510622), we get a palindrome (327356282653723).

The spelling of 226015141143101 in words is "two hundred twenty-six trillion, fifteen billion, one hundred forty-one million, one hundred forty-three thousand, one hundred one".