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1311133233033 = 321370841158189
BaseRepresentation
bin10011000101000101101…
…000010110111110001001
311122100021010111021211100
4103011011220112332021
5132440200101424113
62442154251252013
7163504050411621
oct23050550267611
94570233437740
101311133233033
1146605958aa28
12192133a4a009
13968407cccb0
144766001b881
152418b530d73
hex13145a16f89

1311133233033 has 24 divisors (see below), whose sum is σ = 2039582268360. Its totient is φ = 806834730240.

The previous prime is 1311133233023. The next prime is 1311133233061. The reversal of 1311133233033 is 3303323311131.

1311133233033 is a `hidden beast` number, since 1 + 31 + 1 + 1 + 3 + 323 + 303 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38776304889 + 1272356928144 = 196917^2 + 1127988^2 .

It is not a de Polignac number, because 1311133233033 - 24 = 1311133233017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311133232988 and 1311133233006.

It is not an unprimeable number, because it can be changed into a prime (1311133233023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8209303 + ... + 8367491.

It is an arithmetic number, because the mean of its divisors is an integer number (84982594515).

Almost surely, 21311133233033 is an apocalyptic number.

1311133233033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1311133233033 is a deficient number, since it is larger than the sum of its proper divisors (728449035327).

1311133233033 is a wasteful number, since it uses less digits than its factorization.

1311133233033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229049 (or 229046 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1311133233033 its reverse (3303323311131), we get a palindrome (4614456544164).

The spelling of 1311133233033 in words is "one trillion, three hundred eleven billion, one hundred thirty-three million, two hundred thirty-three thousand, thirty-three".

Divisors: 1 3 9 13 39 117 70841 158189 212523 474567 637569 920933 1423701 2056457 2762799 6169371 8288397 18508113 11206266949 33618800847 100856402541 145681470337 437044411011 1311133233033