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12020134257 = 3217293268133
BaseRepresentation
bin10110011000111010…
…01011000101110001
31011000201000002100200
423030131023011301
5144104123244012
65304425105413
7603604312125
oct131435130561
934021002320
1012020134257
11510906385a
1223b5628269
1311973940a1
1482057d585
154a53eb3dc
hex2cc74b171

12020134257 has 24 divisors (see below), whose sum is σ = 18446546664. Its totient is φ = 7516276224.

The previous prime is 12020134237. The next prime is 12020134267. The reversal of 12020134257 is 75243102021.

12020134257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8076796641 + 3943337616 = 89871^2 + 62796^2 .

It is not a de Polignac number, because 12020134257 - 214 = 12020117873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12020134257.

It is not an unprimeable number, because it can be changed into a prime (12020134237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89238 + ... + 178895.

It is an arithmetic number, because the mean of its divisors is an integer number (768606111).

Almost surely, 212020134257 is an apocalyptic number.

12020134257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12020134257 is a deficient number, since it is larger than the sum of its proper divisors (6426412407).

12020134257 is a wasteful number, since it uses less digits than its factorization.

12020134257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268449 (or 268446 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12020134257 its reverse (75243102021), we get a palindrome (87263236278).

The spelling of 12020134257 in words is "twelve billion, twenty million, one hundred thirty-four thousand, two hundred fifty-seven".

Divisors: 1 3 9 17 51 153 293 879 2637 4981 14943 44829 268133 804399 2413197 4558261 13674783 41024349 78562969 235688907 707066721 1335570473 4006711419 12020134257