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1011000122011 = 111571253946687
BaseRepresentation
bin11101011011001000100…
…11011001101010011011
310120122120100002112002101
432231210103121222123
5113031012012401021
62052240321144231
7133020345150415
oct16554423315233
93518510075071
101011000122011
1135a843237420
12143b31a8b077
137444c236889
1436d0b3499b5
151b47232ba91
hexeb644d9a9b

1011000122011 has 16 divisors (see below), whose sum is σ = 1110046417920. Its totient is φ = 913144546080.

The previous prime is 1011000121981. The next prime is 1011000122039. The reversal of 1011000122011 is 1102210001101.

It is a cyclic number.

It is not a de Polignac number, because 1011000122011 - 211 = 1011000119963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011000122071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21631510 + ... + 21678196.

It is an arithmetic number, because the mean of its divisors is an integer number (69377901120).

Almost surely, 21011000122011 is an apocalyptic number.

1011000122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011000122011 is a deficient number, since it is larger than the sum of its proper divisors (99046295909).

1011000122011 is a wasteful number, since it uses less digits than its factorization.

1011000122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59394.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011000122011 its reverse (1102210001101), we get a palindrome (2113210123112).

The spelling of 1011000122011 in words is "one trillion, eleven billion, one hundred twenty-two thousand, eleven".

Divisors: 1 11 157 1727 12539 46687 137929 513557 1968623 7329859 21654853 80628449 585408293 6439491223 91909102001 1011000122011