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12403422003231 = 327319716540637
BaseRepresentation
bin1011010001111110010110…
…0100000000000000011111
31121220202101210202020201200
42310133211210000000133
53111204202013100411
642214015311410543
72420055234322230
oct264374544000037
947822353666650
1012403422003231
113a52297400946
121483a48b23a53
136bc839c88bbc
1430c486439087
15167994e6ae56
hexb47e590001f

12403422003231 has 48 divisors (see below), whose sum is σ = 21157760452608. Its totient is φ = 6851970273600.

The previous prime is 12403422003229. The next prime is 12403422003331. The reversal of 12403422003231 is 13230022430421.

12403422003231 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 3 + 422 + 0 + 0 + 3 + 231 = 666.

It is not a de Polignac number, because 12403422003231 - 21 = 12403422003229 is a prime.

It is a super-2 number, since 2×124034220032312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12403422003195 and 12403422003204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403422003331) 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 47 ways as a sum of consecutive naturals, for example, 1373956 + ... + 5166681.

It is an arithmetic number, because the mean of its divisors is an integer number (440786676096).

Almost surely, 212403422003231 is an apocalyptic number.

12403422003231 is a deficient number, since it is larger than the sum of its proper divisors (8754338449377).

12403422003231 is a wasteful number, since it uses less digits than its factorization.

12403422003231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541652 (or 6541649 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12403422003231 its reverse (13230022430421), we get a palindrome (25633444433652).

The spelling of 12403422003231 in words is "twelve trillion, four hundred three billion, four hundred twenty-two million, three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 971 1953 2913 6797 8739 20391 30101 61173 90303 210707 270909 632121 1896363 6540637 19621911 45784459 58865733 137353377 202759747 412060131 608279241 1419318229 1824837723 4257954687 6350958527 12773864061 19052875581 44456709689 57158626743 133370129067 196879714337 400110387201 590639143011 1378158000359 1771917429033 4134474001077 12403422003231