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1331232311331 = 3213197541106759
BaseRepresentation
bin10011010111110011101…
…000010000100000100011
311201021010212110020221200
4103113303220100200203
5133302330432430311
62455320520252243
7165115114641546
oct23276350204043
94637125406850
101331232311331
11473632a30a3a
12196003011083
13986c4887a30
144860953485d
1524965d1d556
hex135f3a10823

1331232311331 has 48 divisors (see below), whose sum is σ = 2085184221120. Its totient is φ = 813547203840.

The previous prime is 1331232311327. The next prime is 1331232311333. The reversal of 1331232311331 is 1331132321331.

1331232311331 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 323 + 1 + 1 + 331 = 666.

It is not a de Polignac number, because 1331232311331 - 22 = 1331232311327 is a prime.

It is a super-2 number, since 2×13312323113312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331232311295 and 1331232311304.

It is not an unprimeable number, because it can be changed into a prime (1331232311333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12416130 + ... + 12522888.

It is an arithmetic number, because the mean of its divisors is an integer number (43441337940).

Almost surely, 21331232311331 is an apocalyptic number.

1331232311331 is a deficient number, since it is larger than the sum of its proper divisors (753951909789).

1331232311331 is a wasteful number, since it uses less digits than its factorization.

1331232311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107516 (or 107513 counting only the distinct ones).

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

Adding to 1331232311331 its reverse (1331132321331), we get a palindrome (2662364632662).

The spelling of 1331232311331 in words is "one trillion, three hundred thirty-one billion, two hundred thirty-two million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 117 197 541 591 1623 1773 2561 4869 7033 7683 21099 23049 63297 106577 106759 319731 320277 959193 960831 1385501 1387867 4156503 4163601 12469509 12490803 21031523 57756619 63094569 173269857 189283707 273409799 519809571 750836047 820229397 2252508141 2460688191 6757524423 11378053943 34134161829 102402485487 147914701259 443744103777 1331232311331