Search a number
-
+
12011100011021 = 292232696904427
BaseRepresentation
bin1010111011001000110101…
…0110010111101000001101
31120112020202012201002100202
42232302031112113220031
53033242213100323041
641313453445503245
72346526153364456
oct256621526275015
946466665632322
1012011100011021
113910973911431
12141b9b9111b25
13691846262a47
142d74a9c8412d
1515c682667a9b
hexaec8d597a0d

12011100011021 has 16 divisors (see below), whose sum is σ = 12527394163200. Its totient is φ = 11502000420288.

The previous prime is 12011100010991. The next prime is 12011100011023. The reversal of 12011100011021 is 12011000111021.

It is a cyclic number.

It is not a de Polignac number, because 12011100011021 - 214 = 12011099994637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011100010993 and 12011100011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011100011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1712591 + ... + 5191836.

It is an arithmetic number, because the mean of its divisors is an integer number (782962135200).

Almost surely, 212011100011021 is an apocalyptic number.

It is an amenable number.

12011100011021 is a deficient number, since it is larger than the sum of its proper divisors (516294152179).

12011100011021 is a wasteful number, since it uses less digits than its factorization.

12011100011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904948.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12011100011021 its reverse (12011000111021), we get a palindrome (24022100122042).

The spelling of 12011100011021 in words is "twelve trillion, eleven billion, one hundred million, eleven thousand, twenty-one".

Divisors: 1 29 223 269 6467 7801 59987 1739623 6904427 200228383 1539687221 1857290863 44650929409 53861435027 414175862449 12011100011021