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2222031312101 = 41821510112941
BaseRepresentation
bin100000010101011011011…
…000110001010011100101
321212102110011221011001202
4200111123120301103211
5242401210003441401
64420442002332245
7316352002342466
oct40253330612345
97772404834052
102222031312101
117873a3824937
122ba78995a085
131316c90497a3
1479792942d6d
153cc006b806b
hex2055b6314e5

2222031312101 has 16 divisors (see below), whose sum is σ = 2279622620016. Its totient is φ = 2164603200000.

The previous prime is 2222031312091. The next prime is 2222031312143. The reversal of 2222031312101 is 1012131302222.

It can be written as a sum of positive squares in 8 ways, for example, as 808902372100 + 1413128940001 = 899390^2 + 1188751^2 .

It is a de Polignac number, because none of the positive numbers 2k-2222031312101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222031312181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171698291 + ... + 171711231.

It is an arithmetic number, because the mean of its divisors is an integer number (142476413751).

Almost surely, 22222031312101 is an apocalyptic number.

It is an amenable number.

2222031312101 is a deficient number, since it is larger than the sum of its proper divisors (57591307915).

2222031312101 is a wasteful number, since it uses less digits than its factorization.

2222031312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18904.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2222031312101 its reverse (1012131302222), we get a palindrome (3234162614323).

The spelling of 2222031312101 in words is "two trillion, two hundred twenty-two billion, thirty-one million, three hundred twelve thousand, one hundred one".

Divisors: 1 41 821 5101 12941 33661 209141 530581 4187921 10624561 66012041 171704761 435607001 2706493681 54195885661 2222031312101