Search a number
-
+
111123421302321 = 3217739949272209
BaseRepresentation
bin11001010001000011110000…
…000011011000111000110001
3112120110021222021220222120100
4121101003300003120320301
5104031121231323133241
61032201221153103013
732256254654160411
oct3121036003307061
9476407867828510
10111123421302321
11324531a638628a
1210568568b57a69
134a00b804c82ac
141d6258bc44641
15cca8964939b6
hex6510f00d8e31

111123421302321 has 24 divisors (see below), whose sum is σ = 172281597588360. Its totient is φ = 68769369501696.

The previous prime is 111123421302269. The next prime is 111123421302329. The reversal of 111123421302321 is 123203124321111.

111123421302321 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 3 + 421 + 3 + 0 + 232 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23271323329296 + 87852097973025 = 4824036^2 + 9372945^2 .

It is not a de Polignac number, because 111123421302321 - 217 = 111123421171249 is a prime.

It is a super-2 number, since 2×1111234213023212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111123421302329) 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 23 ways as a sum of consecutive naturals, for example, 4974624936 + ... + 4974647273.

It is an arithmetic number, because the mean of its divisors is an integer number (7178399899515).

Almost surely, 2111123421302321 is an apocalyptic number.

It is an amenable number.

111123421302321 is a deficient number, since it is larger than the sum of its proper divisors (61158176286039).

111123421302321 is a wasteful number, since it uses less digits than its factorization.

111123421302321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949272305 (or 9949272302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 111123421302321 its reverse (123203124321111), we get a palindrome (234326545623432).

The spelling of 111123421302321 in words is "one hundred eleven trillion, one hundred twenty-three billion, four hundred twenty-one million, three hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 73 153 219 657 1241 3723 11169 9949272209 29847816627 89543449881 169137627553 507412882659 726296871257 1522238647977 2178890613771 6536671841313 12347046811369 37041140434107 111123421302321