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12334414401 = 35232206909
BaseRepresentation
bin10110111110011000…
…00011101001000001
31011211121101011200000
423133030003221001
5200230102230101
65355533150213
7614441535561
oct133714035101
934747334600
1012334414401
11525a501111
12248292b369
13121752197a
148501ccda1
154c2ccb486
hex2df303a41

12334414401 has 24 divisors (see below), whose sum is σ = 19279565760. Its totient is φ = 7865420112.

The previous prime is 12334414399. The next prime is 12334414409. The reversal of 12334414401 is 10441443321.

It is not a de Polignac number, because 12334414401 - 21 = 12334414399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12334414409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097866 + ... + 1109043.

It is an arithmetic number, because the mean of its divisors is an integer number (803315240).

Almost surely, 212334414401 is an apocalyptic number.

It is an amenable number.

12334414401 is a deficient number, since it is larger than the sum of its proper divisors (6945151359).

12334414401 is an equidigital number, since it uses as much as digits as its factorization.

12334414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206947 (or 2206935 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12334414401 its reverse (10441443321), we get a palindrome (22775857722).

The spelling of 12334414401 in words is "twelve billion, three hundred thirty-four million, four hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 23 27 69 81 207 243 621 1863 5589 2206909 6620727 19862181 50758907 59586543 152276721 178759629 456830163 536278887 1370490489 4111471467 12334414401