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1011136332033 = 3412483164593
BaseRepresentation
bin11101011011011000110…
…11000000000100000001
310120122220211101201010000
432231230123000010001
5113031301400111113
62052302024430213
7133023621004242
oct16555433000401
93518824351100
101011136332033
1135a90310aa93
12143b6b618369
1374471517b19
1436d21484cc9
151b47e285373
hexeb6c6c0101

1011136332033 has 10 divisors (see below), whose sum is σ = 1510462915874. Its totient is φ = 674090887968.

The previous prime is 1011136332007. The next prime is 1011136332043. The reversal of 1011136332033 is 3302336311101.

1011136332033 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 3 + 633 + 20 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1011116724849 + 19607184 = 1005543^2 + 4428^2 .

It is not a de Polignac number, because 1011136332033 - 221 = 1011134234881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011136331988 and 1011136332006.

It is not an unprimeable number, because it can be changed into a prime (1011136332043) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6241582216 + ... + 6241582377.

Almost surely, 21011136332033 is an apocalyptic number.

It is an amenable number.

1011136332033 is a deficient number, since it is larger than the sum of its proper divisors (499326583841).

1011136332033 is an equidigital number, since it uses as much as digits as its factorization.

1011136332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483164605 (or 12483164596 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 1011136332033 in words is "one trillion, eleven billion, one hundred thirty-six million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 27 81 12483164593 37449493779 112348481337 337045444011 1011136332033