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12121443101031 = 311244974370613
BaseRepresentation
bin1011000001100011111001…
…0011110110100101100111
31120220210120012200211202020
42300120332103312211213
53042044203413213111
641440303013114223
72360513442232365
oct260307623664547
946823505624666
1012121443101031
113953747697100
121439272928973
1369c07c866894
142dc976856635
1516048e931906
hexb063e4f6967

12121443101031 has 24 divisors (see below), whose sum is σ = 17804324991600. Its totient is φ = 7329967518720.

The previous prime is 12121443101017. The next prime is 12121443101113. The reversal of 12121443101031 is 13010134412121.

It is not a de Polignac number, because 12121443101031 - 221 = 12121441003879 is a prime.

It is a super-3 number, since 3×121214431010313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12121443100992 and 12121443101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121443151031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37022320 + ... + 37348293.

It is an arithmetic number, because the mean of its divisors is an integer number (741846874650).

Almost surely, 212121443101031 is an apocalyptic number.

12121443101031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12121443101031 is a deficient number, since it is larger than the sum of its proper divisors (5682881890569).

12121443101031 is a wasteful number, since it uses less digits than its factorization.

12121443101031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74371087 (or 74371076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12121443101031 its reverse (13010134412121), we get a palindrome (25131577513152).

The spelling of 12121443101031 in words is "twelve trillion, one hundred twenty-one billion, four hundred forty-three million, one hundred one thousand, thirty-one".

Divisors: 1 3 11 33 121 363 449 1347 4939 14817 54329 162987 74370613 223111839 818076743 2454230229 8998844173 26996532519 33392405237 100177215711 367316457607 1101949372821 4040481033677 12121443101031