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12013104141 = 331937396263
BaseRepresentation
bin10110011000000100…
…10110110000001101
31011000012202220212000
423030002112300031
5144100323313031
65304014302513
7603460462143
oct131402266015
934005686760
1012013104141
1151050a1a45
1223b31b7a39
131195aa225c
1481d66d593
154a49ad3e6
hex2cc096c0d

12013104141 has 32 divisors (see below), whose sum is σ = 18741888000. Its totient is φ = 7583983344.

The previous prime is 12013104127. The next prime is 12013104157. The reversal of 12013104141 is 14140131021.

12013104141 is a `hidden beast` number, since 120 + 131 + 0 + 414 + 1 = 666.

It is not a de Polignac number, because 12013104141 - 217 = 12012973069 is a prime.

It is a super-2 number, since 2×120131041412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013104641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914976 + ... + 1921238.

It is an arithmetic number, because the mean of its divisors is an integer number (585684000).

Almost surely, 212013104141 is an apocalyptic number.

It is an amenable number.

12013104141 is a deficient number, since it is larger than the sum of its proper divisors (6728783859).

12013104141 is a wasteful number, since it uses less digits than its factorization.

12013104141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12013104141 its reverse (14140131021), we get a palindrome (26153235162).

The spelling of 12013104141 in words is "twelve billion, thirteen million, one hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 3739 6263 11217 18789 33651 56367 71041 100953 118997 169101 213123 356991 639369 1070973 1918107 3212919 23417357 70252071 210756213 444929783 632268639 1334789349 4004368047 12013104141