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2261117993 is a prime number
BaseRepresentation
bin1000011011000101…
…1110110000101001
312211120200200202212
42012301132300221
514112321233433
61012211334505
7110014120511
oct20661366051
95746620685
102261117993
11a60384462
125312b1435
132a05b0454
1417642a841
15d3790d48
hex86c5ec29

2261117993 has 2 divisors, whose sum is σ = 2261117994. Its totient is φ = 2261117992.

The previous prime is 2261117983. The next prime is 2261118019. The reversal of 2261117993 is 3997111622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2115264064 + 145853929 = 45992^2 + 12077^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261117993 - 28 = 2261117737 is a prime.

It is a super-2 number, since 2×22611179932 = 10225309156536696098, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2261117993.

It is not a weakly prime, because it can be changed into another prime (2261117983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130558996 + 1130558997.

It is an arithmetic number, because the mean of its divisors is an integer number (1130558997).

Almost surely, 22261117993 is an apocalyptic number.

It is an amenable number.

2261117993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261117993 is an equidigital number, since it uses as much as digits as its factorization.

2261117993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 41.

The square root of 2261117993 is about 47551.2144219262. The cubic root of 2261117993 is about 1312.5254766090.

It can be divided in two parts, 22611 and 17993, that added together give a palindrome (40604).

The spelling of 2261117993 in words is "two billion, two hundred sixty-one million, one hundred seventeen thousand, nine hundred ninety-three".