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12011010001011 = 327434433743079
BaseRepresentation
bin1010111011001000011111…
…1111000000100001110011
31120112020111221100002211200
42232302013333000201303
53033242022030013021
641313440512342243
72346524011330560
oct256620777004163
946466457302750
1012011010001011
11391092802359a
12141b992b44983
13691830709398
142d749bd33867
1515c6797d8126
hexaec87fc0873

12011010001011 has 24 divisors (see below), whose sum is σ = 20288808334080. Its totient is φ = 6703819533936.

The previous prime is 12011010001007. The next prime is 12011010001031. The reversal of 12011010001011 is 11010001011021.

It is not a de Polignac number, because 12011010001011 - 22 = 12011010001007 is a prime.

It is a super-2 number, since 2×120110100010112 (a number of 27 digits) contains 22 as substring.

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 = 12011010000984 and 12011010001002.

It is not an unprimeable number, because it can be changed into a prime (12011010001031) 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 23 ways as a sum of consecutive naturals, for example, 2216868831 + ... + 2216874248.

It is an arithmetic number, because the mean of its divisors is an integer number (845367013920).

Almost surely, 212011010001011 is an apocalyptic number.

12011010001011 is a deficient number, since it is larger than the sum of its proper divisors (8277798333069).

12011010001011 is a wasteful number, since it uses less digits than its factorization.

12011010001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433743135 (or 4433743132 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12011010001011 its reverse (11010001011021), we get a palindrome (23021011012032).

The spelling of 12011010001011 in words is "twelve trillion, eleven billion, ten million, one thousand, eleven".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 4433743079 13301229237 31036201553 39903687711 93108604659 190650952397 279325813977 571952857191 1334556666779 1715858571573 4003670000337 12011010001011