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412122012009 = 31937475697307
BaseRepresentation
bin1011111111101000110…
…00101101100101101001
31110101202111021101100120
411333310120231211221
523223011213341014
6513154244553453
741526524205621
oct5776430554551
91411674241316
10412122012009
1114986414a444
1267a569b2889
132cb2ab52806
1415d380a1881
15aac0c1aba9
hex5ff462d969

412122012009 has 64 divisors (see below), whose sum is σ = 607838515200. Its totient is φ = 247394953728.

The previous prime is 412122011999. The next prime is 412122012013. The reversal of 412122012009 is 900210221214.

It is not a de Polignac number, because 412122012009 - 27 = 412122011881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412122012009.

It is not an unprimeable number, because it can be changed into a prime (412122012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56397334 + ... + 56404640.

It is an arithmetic number, because the mean of its divisors is an integer number (9497476800).

Almost surely, 2412122012009 is an apocalyptic number.

It is an amenable number.

412122012009 is a deficient number, since it is larger than the sum of its proper divisors (195716503191).

412122012009 is a wasteful number, since it uses less digits than its factorization.

412122012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982.

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

The spelling of 412122012009 in words is "four hundred twelve billion, one hundred twenty-two million, twelve thousand, nine".

Divisors: 1 3 19 37 47 57 111 141 569 703 893 1707 1739 2109 2679 5217 7307 10811 21053 21921 26743 32433 33041 63159 80229 99123 138833 270359 343429 400007 416499 508117 811077 989491 1030287 1200021 1524351 2968473 4157683 5136821 6525151 12473049 12706873 15410463 18800329 19575453 38120619 56400987 78995977 153834271 195411101 236987931 241430587 461502813 586233303 724291761 2922851149 3712810919 7230210737 8768553447 11138432757 21690632211 137374004003 412122012009