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1213320214431 = 321334967743891
BaseRepresentation
bin10001101001111111100…
…001010011011110011111
311021222210101001010001200
4101221333201103132133
5124334334433330211
62325220331010543
7153442130441313
oct21517741233637
94258711033050
101213320214431
114286256a2376
12177196599a53
138a5531143b0
1442a21609b43
15218642e0b56
hex11a7f85379f

1213320214431 has 48 divisors (see below), whose sum is σ = 1895634031200. Its totient is φ = 743402499840.

The previous prime is 1213320214397. The next prime is 1213320214451. The reversal of 1213320214431 is 1344120233121.

1213320214431 is a `hidden beast` number, since 1 + 2 + 13 + 3 + 2 + 0 + 214 + 431 = 666.

It is not a de Polignac number, because 1213320214431 - 215 = 1213320181663 is a prime.

It is a super-2 number, since 2×12133202144312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1213320214395 and 1213320214404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213320214451) 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, 27621996 + ... + 27665886.

It is an arithmetic number, because the mean of its divisors is an integer number (39492375650).

Almost surely, 21213320214431 is an apocalyptic number.

1213320214431 is a deficient number, since it is larger than the sum of its proper divisors (682313816769).

1213320214431 is a wasteful number, since it uses less digits than its factorization.

1213320214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44936 (or 44933 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1213320214431 its reverse (1344120233121), we get a palindrome (2557440447552).

The spelling of 1213320214431 in words is "one trillion, two hundred thirteen billion, three hundred twenty million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 349 677 1047 2031 3141 4537 6093 8801 13611 26403 40833 43891 79209 131673 236273 395019 570583 708819 1711749 2126457 3071549 5135247 9214647 15317959 27643941 29714207 45953877 89142621 137861631 199133467 267427863 386284691 597400401 1158854073 1792201203 3476562219 10370258243 31110774729 93332324187 134813357159 404440071477 1213320214431