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12442112133 = 31141719877
BaseRepresentation
bin10111001011001101…
…11001000010000101
31012010010000210011220
423211212321002011
5200440140042013
65414341350553
7620220131253
oct134546710205
935103023156
1012442112133
115305280000
1224b2a08459
13123392c139
148606255d3
154cc4a1b23
hex2e59b9085

12442112133 has 80 divisors (see below), whose sum is σ = 20361873600. Its totient is φ = 6715906560.

The previous prime is 12442112117. The next prime is 12442112153. The reversal of 12442112133 is 33121124421.

It is not a de Polignac number, because 12442112133 - 24 = 12442112117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442112153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14186691 + ... + 14187567.

It is an arithmetic number, because the mean of its divisors is an integer number (254523420).

Almost surely, 212442112133 is an apocalyptic number.

It is an amenable number.

12442112133 is a deficient number, since it is larger than the sum of its proper divisors (7919761467).

12442112133 is an equidigital number, since it uses as much as digits as its factorization.

12442112133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 927 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12442112133 its reverse (33121124421), we get a palindrome (45563236554).

The spelling of 12442112133 in words is "twelve billion, four hundred forty-two million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 11 17 19 33 51 57 121 187 209 323 363 561 627 877 969 1331 2057 2299 2631 3553 3993 6171 6897 9647 10659 14641 14909 16663 22627 25289 28941 39083 43923 44727 49989 67881 75867 106117 117249 163999 183293 248897 278179 283271 318351 429913 491997 549879 746691 834537 849813 1167287 1289739 1803989 2016223 3115981 3501861 4729043 5411967 6048669 9347943 12840157 14187129 19843879 22178453 34275791 38520471 59531637 66535359 102827373 218282669 243962983 377033701 654848007 731888949 1131101103 4147370711 12442112133