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12980331 = 35713587
BaseRepresentation
bin110001100001…
…000001101011
3220102110200000
4301201001223
511310332311
61142114043
7215221350
oct61410153
926373600
1012980331
117366351
12441b923
1328c6290
141a1c627
151216056
hexc6106b

12980331 has 48 divisors (see below), whose sum is σ = 23971584. Its totient is φ = 6835104.

The previous prime is 12980327. The next prime is 12980381. The reversal of 12980331 is 13308921.

It is not a de Polignac number, because 12980331 - 22 = 12980327 is a prime.

It is a super-2 number, since 2×129803312 = 336977985739122, which 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 = 12980295 and 12980304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12980311) 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, 21820 + ... + 22406.

It is an arithmetic number, because the mean of its divisors is an integer number (499408).

Almost surely, 212980331 is an apocalyptic number.

12980331 is a deficient number, since it is larger than the sum of its proper divisors (10991253).

12980331 is an equidigital number, since it uses as much as digits as its factorization.

12980331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12980331 is about 3602.8226434283. The cubic root of 12980331 is about 235.0148232690.

The spelling of 12980331 in words is "twelve million, nine hundred eighty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 587 819 1053 1701 1761 2457 3159 4109 5283 7371 7631 12327 15849 22113 22893 36981 47547 53417 68679 110943 142641 160251 206037 332829 480753 618111 998487 1442259 1854333 4326777 12980331