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12304454401 = 531132777417
BaseRepresentation
bin10110111010110011…
…10001001100000001
31011202112000001021101
423131121301030001
5200144420020101
65352543054401
7613626064621
oct133531611401
934675001241
1012304454401
1152445a8788
1224748a1401
131211261c65
1484a230881
154c035e401
hex2dd671301

12304454401 has 16 divisors (see below), whose sum is σ = 12694927824. Its totient is φ = 11920656384.

The previous prime is 12304454389. The next prime is 12304454431. The reversal of 12304454401 is 10445440321.

It can be written as a sum of positive squares in 8 ways, for example, as 586608400 + 11717846001 = 24220^2 + 108249^2 .

It is a cyclic number.

It is not a de Polignac number, because 12304454401 - 27 = 12304454273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12304454401.

It is not an unprimeable number, because it can be changed into a prime (12304454431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655245 + ... + 1662661.

It is an arithmetic number, because the mean of its divisors is an integer number (793432989).

Almost surely, 212304454401 is an apocalyptic number.

It is an amenable number.

12304454401 is a deficient number, since it is larger than the sum of its proper divisors (390473423).

12304454401 is a wasteful number, since it uses less digits than its factorization.

12304454401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860.

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 12304454401 its reverse (10445440321), we get a palindrome (22749894722).

The spelling of 12304454401 in words is "twelve billion, three hundred four million, four hundred fifty-four thousand, four hundred one".

Divisors: 1 53 113 277 5989 7417 14681 31301 393101 838121 1658953 2054509 44420413 108888977 232159517 12304454401