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1321233221331 = 3431751455903
BaseRepresentation
bin10011001110011111101…
…000110000011011010011
311200022100000101212010000
4103032133220300123103
5133121341201040311
62450544405141043
7164312251036632
oct23163750603323
94608300355100
101321233221331
1146a3717886a1
121940923ba783
139779012882a
1447d3b56b519
152457d090056
hex1339fa306d3

1321233221331 has 20 divisors (see below), whose sum is σ = 1979920274112. Its totient is φ = 878043511728.

The previous prime is 1321233221303. The next prime is 1321233221377. The reversal of 1321233221331 is 1331223321231.

1321233221331 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 3 + 322 + 1 + 331 = 666.

It is not a de Polignac number, because 1321233221331 - 25 = 1321233221299 is a prime.

It is a super-2 number, since 2×13212332213312 (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 = 1321233221295 and 1321233221304.

It is not an unprimeable number, because it can be changed into a prime (1321233226331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25702275 + ... + 25753628.

Almost surely, 21321233221331 is an apocalyptic number.

1321233221331 is a deficient number, since it is larger than the sum of its proper divisors (658687052781).

1321233221331 is an equidigital number, since it uses as much as digits as its factorization.

1321233221331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51456232 (or 51456223 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1321233221331 its reverse (1331223321231), we get a palindrome (2652456542562).

It can be divided in two parts, 1321233 and 221331, that added together give a square (1542564 = 12422).

The spelling of 1321233221331 in words is "one trillion, three hundred twenty-one billion, two hundred thirty-three million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 317 951 2853 8559 25677 51455903 154367709 463103127 1389309381 4167928143 16311521251 48934563753 146803691259 440411073777 1321233221331