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12434321031 = 31119149133097
BaseRepresentation
bin10111001010010010…
…01010111010000111
31012002120100221210120
423211021022322013
5200431141233111
65413502353023
7620063661546
oct134511127207
935076327716
1012434321031
115300939480
1224b028b773
131232131b12
1485d59815d
154cb963406
hex2e524ae87

12434321031 has 32 divisors (see below), whose sum is σ = 19166112000. Its totient is φ = 7091354880.

The previous prime is 12434320963. The next prime is 12434321041. The reversal of 12434321031 is 13012343421.

It is a happy number.

12434321031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12434321031 - 27 = 12434320903 is a prime.

It is a super-2 number, since 2×124343210312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12434320992 and 12434321010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434321041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26875 + ... + 159971.

It is an arithmetic number, because the mean of its divisors is an integer number (598941000).

Almost surely, 212434321031 is an apocalyptic number.

12434321031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12434321031 is a deficient number, since it is larger than the sum of its proper divisors (6731790969).

12434321031 is a wasteful number, since it uses less digits than its factorization.

12434321031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133279.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12434321031 its reverse (13012343421), we get a palindrome (25446664452).

The spelling of 12434321031 in words is "twelve billion, four hundred thirty-four million, three hundred twenty-one thousand, thirty-one".

Divisors: 1 3 11 19 33 57 149 209 447 627 1639 2831 4917 8493 31141 93423 133097 399291 1464067 2528843 4392201 7586529 19831453 27817273 59494359 83451819 218145983 376797607 654437949 1130392821 4144773677 12434321031