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321212113201233 = 3322603515263229
BaseRepresentation
bin100100100001001000000010…
…1111001111010100001010001
31120010022120121110020120202000
41021002100011321322201101
5314100214401434414413
63055054450242544213
7124441544414645352
oct11102200571724121
91503276543216660
10321212113201233
1193391323a12a61
1230039086968069
1310a30231721537
145946a6bc65d29
1527206e6a62073
hex1242405e7a851

321212113201233 has 16 divisors (see below), whose sum is σ = 475870098278400. Its totient is φ = 214141273376400.

The previous prime is 321212113201193. The next prime is 321212113201249. The reversal of 321212113201233 is 332102311212123.

321212113201233 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 1 + 211 + 320 + 123 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-321212113201233 is a prime.

It is a super-2 number, since 2×3212121132012332 (a number of 30 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 = 321212113201197 and 321212113201206.

It is not an unprimeable number, because it can be changed into a prime (321212113401233) 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 15 ways as a sum of consecutive naturals, for example, 58397863 + ... + 63661091.

It is an arithmetic number, because the mean of its divisors is an integer number (29741881142400).

Almost surely, 2321212113201233 is an apocalyptic number.

It is an amenable number.

321212113201233 is a deficient number, since it is larger than the sum of its proper divisors (154657985077167).

321212113201233 is a wasteful number, since it uses less digits than its factorization.

321212113201233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523589 (or 7523583 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 321212113201233 its reverse (332102311212123), we get a palindrome (653314424413356).

The spelling of 321212113201233 in words is "three hundred twenty-one trillion, two hundred twelve billion, one hundred thirteen million, two hundred one thousand, two hundred thirty-three".

Divisors: 1 3 9 27 2260351 5263229 6781053 15789687 20343159 47369061 61029477 142107183 11896744933379 35690234800137 107070704400411 321212113201233