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12114243033431 = 7115910126401717
BaseRepresentation
bin1011000001001001000100…
…1001110001100101010111
31120220002222102111111210212
42300102101021301211113
53041434432204032211
641433112330440035
72360140143534560
oct260222111614527
946802872444725
1012114243033431
113950692413810
1214379a359301b
1369b4a2c81956
142dc4924db167
151601bc79838b
hexb0491271957

12114243033431 has 32 divisors (see below), whose sum is σ = 15511537359360. Its totient is φ = 9187797168000.

The previous prime is 12114243033421. The next prime is 12114243033479. The reversal of 12114243033431 is 13433034241121.

It is not a de Polignac number, because 12114243033431 - 26 = 12114243033367 is a prime.

It is a super-3 number, since 3×121142430334313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114243033421) 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 31 ways as a sum of consecutive naturals, for example, 12742016 + ... + 13659701.

It is an arithmetic number, because the mean of its divisors is an integer number (484735542480).

Almost surely, 212114243033431 is an apocalyptic number.

12114243033431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12114243033431 is a deficient number, since it is larger than the sum of its proper divisors (3397294325929).

12114243033431 is a wasteful number, since it uses less digits than its factorization.

12114243033431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26401895.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 12114243033431 its reverse (13433034241121), we get a palindrome (25547277274552).

The spelling of 12114243033431 in words is "twelve trillion, one hundred fourteen billion, two hundred forty-three million, thirty-three thousand, four hundred thirty-one".

Divisors: 1 7 11 59 77 101 413 649 707 1111 4543 5959 7777 41713 65549 458843 26401717 184812019 290418887 1557701303 2032932209 2666573417 10903909121 17134714333 18666013919 29332307587 119943000331 157327831603 205326153109 1101294821221 1730606147633 12114243033431