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12823930141 = 116471801873
BaseRepresentation
bin10111111000101110…
…11010010100011101
31020002201111011000121
423330113122110131
5202230411231031
65520301154541
7632534415301
oct137427322435
936081434017
1012823930141
115490857580
12259a85ba51
131294a75959
14899215d01
15500c73011
hex2fc5da51d

12823930141 has 8 divisors (see below), whose sum is σ = 14011372224. Its totient is φ = 11640093120.

The previous prime is 12823930109. The next prime is 12823930151. The reversal of 12823930141 is 14103932821.

It is a happy number.

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 12823930141 - 25 = 12823930109 is a prime.

It is a super-2 number, since 2×128239301412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12823930097 and 12823930106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823930151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 893820 + ... + 908053.

It is an arithmetic number, because the mean of its divisors is an integer number (1751421528).

Almost surely, 212823930141 is an apocalyptic number.

12823930141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12823930141 is a deficient number, since it is larger than the sum of its proper divisors (1187442083).

12823930141 is a wasteful number, since it uses less digits than its factorization.

12823930141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802531.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 12823930141 in words is "twelve billion, eight hundred twenty-three million, nine hundred thirty thousand, one hundred forty-one".

Divisors: 1 11 647 7117 1801873 19820603 1165811831 12823930141