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11312022241 = 131776167261
BaseRepresentation
bin10101000100011111…
…11100001011100001
31002012100120021021201
422202033330023201
5141131334202431
65110251521201
7550215413452
oct124217741341
932170507251
1011312022241
114885383813
122238459201
1310b37745b0
147944d3129
15463175461
hex2a23fc2e1

11312022241 has 16 divisors (see below), whose sum is σ = 12915918288. Its totient is φ = 9814579200.

The previous prime is 11312022217. The next prime is 11312022263. The reversal of 11312022241 is 14222021311.

11312022241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 932691600 + 10379330641 = 30540^2 + 101879^2 .

It is a cyclic number.

It is not a de Polignac number, because 11312022241 - 211 = 11312020193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11312029241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134551 + ... + 201811.

It is an arithmetic number, because the mean of its divisors is an integer number (807244893).

Almost surely, 211312022241 is an apocalyptic number.

It is an amenable number.

11312022241 is a deficient number, since it is larger than the sum of its proper divisors (1603896047).

11312022241 is a wasteful number, since it uses less digits than its factorization.

11312022241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68052.

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

Adding to 11312022241 its reverse (14222021311), we get a palindrome (25534043552).

The spelling of 11312022241 in words is "eleven billion, three hundred twelve million, twenty-two thousand, two hundred forty-one".

Divisors: 1 13 17 221 761 9893 12937 67261 168181 874393 1143437 14864681 51185621 665413073 870155557 11312022241