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11312112401 is a prime number
BaseRepresentation
bin10101000100100000…
…10010001100010001
31002012100201211221222
422202100102030101
5141131400044101
65110253454425
7550216240352
oct124220221421
932170654858
1011312112401
114885435527
1222384a1415
1310b37a6645
14794517d29
1546319201b
hex2a2412311

11312112401 has 2 divisors, whose sum is σ = 11312112402. Its totient is φ = 11312112400.

The previous prime is 11312112397. The next prime is 11312112407. The reversal of 11312112401 is 10421121311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10213123600 + 1098988801 = 101060^2 + 33151^2 .

It is a cyclic number.

It is not a de Polignac number, because 11312112401 - 22 = 11312112397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11312112401.

It is not a weakly prime, because it can be changed into another prime (11312112407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656056200 + 5656056201.

It is an arithmetic number, because the mean of its divisors is an integer number (5656056201).

Almost surely, 211312112401 is an apocalyptic number.

It is an amenable number.

11312112401 is a deficient number, since it is larger than the sum of its proper divisors (1).

11312112401 is an equidigital number, since it uses as much as digits as its factorization.

11312112401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11312112401 its reverse (10421121311), we get a palindrome (21733233712).

The spelling of 11312112401 in words is "eleven billion, three hundred twelve million, one hundred twelve thousand, four hundred one".