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12011010001093 is a prime number
BaseRepresentation
bin1010111011001000011111…
…1111000000100011000101
31120112020111221100002221201
42232302013333000203011
53033242022030013333
641313440512342501
72346524011331035
oct256620777004305
946466457302851
1012011010001093
113910928023664
12141b992b44a31
1369183070942c
142d749bd338c5
1515c6797d817d
hexaec87fc08c5

12011010001093 has 2 divisors, whose sum is σ = 12011010001094. Its totient is φ = 12011010001092.

The previous prime is 12011010001091. The next prime is 12011010001153. The reversal of 12011010001093 is 39010001011021.

12011010001093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11833586240004 + 177423761089 = 3439998^2 + 421217^2 .

It is a cyclic number.

It is not a de Polignac number, because 12011010001093 - 21 = 12011010001091 is a prime.

It is a super-2 number, since 2×120110100010932 (a number of 27 digits) contains 22 as substring.

Together with 12011010001091, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12011010001093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12011010001091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005505000546 + 6005505000547.

It is an arithmetic number, because the mean of its divisors is an integer number (6005505000547).

Almost surely, 212011010001093 is an apocalyptic number.

It is an amenable number.

12011010001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011010001093 is an equidigital number, since it uses as much as digits as its factorization.

12011010001093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 12011010001093 in words is "twelve trillion, eleven billion, ten million, one thousand, ninety-three".