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12434321141 = 114332610607
BaseRepresentation
bin10111001010010010…
…01010111011110101
31012002120100221221122
423211021022323311
5200431141234031
65413502353325
7620063662064
oct134511127365
935076327848
1012434321141
115300939570
1224b028b845
131232131b98
1485d5981db
154cb96347b
hex2e524aef5

12434321141 has 8 divisors (see below), whose sum is σ = 13596046464. Its totient is φ = 11277817920.

The previous prime is 12434321131. The next prime is 12434321143. The reversal of 12434321141 is 14112343421.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12434321141 - 210 = 12434320117 is a prime.

It is a super-2 number, since 2×124343211412 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12434321141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434321143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1300541 + ... + 1310066.

It is an arithmetic number, because the mean of its divisors is an integer number (1699505808).

Almost surely, 212434321141 is an apocalyptic number.

12434321141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12434321141 is a deficient number, since it is larger than the sum of its proper divisors (1161725323).

12434321141 is a wasteful number, since it uses less digits than its factorization.

12434321141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611051.

The product of its digits is 2304, while the sum is 26.

Adding to 12434321141 its reverse (14112343421), we get a palindrome (26546664562).

The spelling of 12434321141 in words is "twelve billion, four hundred thirty-four million, three hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 11 433 4763 2610607 28716677 1130392831 12434321141