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3431243212241 = 133116135278519
BaseRepresentation
bin110001111011100110000…
…010000110010111010001
3110011000122020110021101212
4301323212002012113101
5422204141230242431
611144142534105505
7502620256036325
oct61734602062721
913130566407355
103431243212241
111103200382939
12474bb84ab295
131bb745c77480
14bc104681985
155e3c3e8a72b
hex31ee60865d1

3431243212241 has 16 divisors (see below), whose sum is σ = 3816750013440. Its totient is φ = 3063229565760.

The previous prime is 3431243212223. The next prime is 3431243212259. The reversal of 3431243212241 is 1422123421343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3431243212223) and next prime (3431243212259).

It is not a de Polignac number, because 3431243212241 - 214 = 3431243195857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3431243212198 and 3431243212207.

It is not an unprimeable number, because it can be changed into a prime (3431243212261) 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, 1989221 + ... + 3289298.

It is an arithmetic number, because the mean of its divisors is an integer number (238546875840).

Almost surely, 23431243212241 is an apocalyptic number.

3431243212241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3431243212241 is a deficient number, since it is larger than the sum of its proper divisors (385506801199).

3431243212241 is a wasteful number, since it uses less digits than its factorization.

3431243212241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280176.

The product of its digits is 27648, while the sum is 32.

Adding to 3431243212241 its reverse (1422123421343), we get a palindrome (4853366633584).

The spelling of 3431243212241 in words is "three trillion, four hundred thirty-one billion, two hundred forty-three million, two hundred twelve thousand, two hundred forty-one".

Divisors: 1 13 31 403 1613 20969 50003 650039 5278519 68620747 163634089 2127243157 8514251147 110685264911 263941785557 3431243212241