Search a number
-
+
1131330233331 = 3341901119753
BaseRepresentation
bin10000011101101000100…
…010010110001111110011
311000011011100102112012000
4100131220202112033303
5122013431014431311
62223420445105043
7144510263213454
oct20355042261763
94004140375160
101131330233331
113a6881472011
12163314258183
13828b793258c
143ca8446312b
151e66628d056
hex107688963f3

1131330233331 has 8 divisors (see below), whose sum is σ = 1676044790160. Its totient is φ = 754220155536.

The previous prime is 1131330233311. The next prime is 1131330233381. The reversal of 1131330233331 is 1333320331311.

1131330233331 is a `hidden beast` number, since 1 + 13 + 13 + 302 + 3 + 3 + 331 = 666.

It is not a de Polignac number, because 1131330233331 - 27 = 1131330233203 is a prime.

It is a super-2 number, since 2×11313302333312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 41901119753 = 1131330233331 / (1 + 1 + 3 + 1 + 3 + 3 + 0 + 2 + 3 + 3 + 3 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 1131330233295 and 1131330233304.

It is not an unprimeable number, because it can be changed into a prime (1131330233311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20950559850 + ... + 20950559903.

It is an arithmetic number, because the mean of its divisors is an integer number (209505598770).

Almost surely, 21131330233331 is an apocalyptic number.

1131330233331 is a deficient number, since it is larger than the sum of its proper divisors (544714556829).

1131330233331 is an equidigital number, since it uses as much as digits as its factorization.

1131330233331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41901119762 (or 41901119756 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1131330233331 its reverse (1333320331311), we get a palindrome (2464650564642).

The spelling of 1131330233331 in words is "one trillion, one hundred thirty-one billion, three hundred thirty million, two hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 41901119753 125703359259 377110077777 1131330233331