Search a number
-
+
12000011000211 = 3213102564196583
BaseRepresentation
bin1010111010011111100001…
…1001001001100110010011
31120111012010101202222020200
42232213320121021212103
53033102010304001321
641304421241510243
72345654313346053
oct256477031114623
946435111688220
1012000011000211
1139071a3408493
1214198234a2383
13690799a717a0
142d6b37243563
1515c233d94d26
hexae9f8649993

12000011000211 has 12 divisors (see below), whose sum is σ = 18666683778288. Its totient is φ = 7384622153904.

The previous prime is 12000011000143. The next prime is 12000011000279. The reversal of 12000011000211 is 11200011000021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12000011000143) and next prime (12000011000279).

It is not a de Polignac number, because 12000011000211 - 213 = 12000010992019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000011000193 and 12000011000202.

It is not an unprimeable number, because it can be changed into a prime (12000011000291) 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 11 ways as a sum of consecutive naturals, for example, 51282098175 + ... + 51282098408.

It is an arithmetic number, because the mean of its divisors is an integer number (1555556981524).

Almost surely, 212000011000211 is an apocalyptic number.

12000011000211 is a deficient number, since it is larger than the sum of its proper divisors (6666672778077).

12000011000211 is a wasteful number, since it uses less digits than its factorization.

12000011000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102564196602 (or 102564196599 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000011000211 its reverse (11200011000021), we get a palindrome (23200022000232).

The spelling of 12000011000211 in words is "twelve trillion, eleven million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 102564196583 307692589749 923077769247 1333334555579 4000003666737 12000011000211