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12301223313211 = 727919011671641
BaseRepresentation
bin1011001100000001101000…
…0010111011111100111011
31121112222121101212212210021
42303000122002323330323
53103020401132010321
642055034243031311
72406506531641600
oct263003202737473
947488541785707
1012301223313211
113a12a12960458
12146808696b537
136b3000ab6161
1430754d39c6a7
15164eb2bc2941
hexb301a0bbf3b

12301223313211 has 24 divisors (see below), whose sum is σ = 14498351663040. Its totient is φ = 10404956016000.

The previous prime is 12301223313199. The next prime is 12301223313227. The reversal of 12301223313211 is 11231332210321.

It is a de Polignac number, because none of the positive numbers 2k-12301223313211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12301223313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6522951 + ... + 8194591.

It is an arithmetic number, because the mean of its divisors is an integer number (604097985960).

Almost surely, 212301223313211 is an apocalyptic number.

12301223313211 is a deficient number, since it is larger than the sum of its proper divisors (2197128349829).

12301223313211 is a wasteful number, since it uses less digits than its factorization.

12301223313211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673635 (or 1673628 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12301223313211 its reverse (11231332210321), we get a palindrome (23532555523532).

The spelling of 12301223313211 in words is "twelve trillion, three hundred one billion, two hundred twenty-three million, three hundred thirteen thousand, two hundred eleven".

Divisors: 1 7 49 79 553 1901 3871 13307 93149 150179 1051253 1671641 7358771 11701487 81910409 132059639 924417473 3177789541 6470922311 22244526787 155711687509 251045373739 1757317616173 12301223313211