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12434420401 = 131975167033
BaseRepresentation
bin10111001010010011…
…00011001010110001
31012002120120000002221
423211021203022301
5200431202423101
65413504441041
7620064554344
oct134511431261
935076500087
1012434420401
1153009a70a7
1224b0319181
131232168110
1485d5c245b
154cb982aa1
hex2e52632b1

12434420401 has 16 divisors (see below), whose sum is σ = 14114679040. Its totient is φ = 10859184000.

The previous prime is 12434420389. The next prime is 12434420407. The reversal of 12434420401 is 10402443421.

It is not a de Polignac number, because 12434420401 - 213 = 12434412209 is a prime.

It is a super-2 number, since 2×124344204012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12434420407) 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, 151981 + ... + 219013.

It is an arithmetic number, because the mean of its divisors is an integer number (882167440).

Almost surely, 212434420401 is an apocalyptic number.

It is an amenable number.

12434420401 is a deficient number, since it is larger than the sum of its proper divisors (1680258639).

12434420401 is a wasteful number, since it uses less digits than its factorization.

12434420401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67816.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12434420401 its reverse (10402443421), we get a palindrome (22836863822).

The spelling of 12434420401 in words is "twelve billion, four hundred thirty-four million, four hundred twenty thousand, four hundred one".

Divisors: 1 13 19 247 751 9763 14269 67033 185497 871429 1273627 16557151 50341783 654443179 956493877 12434420401