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1132303122333 = 366581236017
BaseRepresentation
bin10000011110100010100…
…001100111111110011101
311000020200011002102000000
4100132202201213332131
5122022424044403313
62224101201324513
7144543345510525
oct20364241477635
94006604072000
101132303122333
113a7230658a09
12163546036739
1382a11369746
143cb37754685
151e6c18b6673
hex107a2867f9d

1132303122333 has 28 divisors (see below), whose sum is σ = 1697943230268. Its totient is φ = 754750846080.

The previous prime is 1132303122317. The next prime is 1132303122341. The reversal of 1132303122333 is 3332213032311.

1132303122333 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 303 + 1 + 22 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120824369604 + 1011478752729 = 347598^2 + 1005723^2 .

It is not a de Polignac number, because 1132303122333 - 24 = 1132303122317 is a prime.

It is a super-2 number, since 2×11323031223332 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1132303122297 and 1132303122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132303122343) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4679541 + ... + 4915557.

Almost surely, 21132303122333 is an apocalyptic number.

It is an amenable number.

1132303122333 is a deficient number, since it is larger than the sum of its proper divisors (565640107935).

1132303122333 is an frugal number, since it uses more digits than its factorization.

1132303122333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242616 (or 242601 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1132303122333 its reverse (3332213032311), we get a palindrome (4464516154644).

The spelling of 1132303122333 in words is "one trillion, one hundred thirty-two billion, three hundred three million, one hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 27 81 243 729 6581 19743 59229 177687 236017 533061 708051 1599183 2124153 4797549 6372459 19117377 57352131 172056393 1553227877 4659683631 13979050893 41937152679 125811458037 377434374111 1132303122333