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299429120315061 = 321131353320386291
BaseRepresentation
bin100010000010101000100011…
…0010110100000111010110101
31110021012010220020002210212100
41010011101012112200322311
5303221321314300040221
62540455501111212313
7120033016510302552
oct10405210626407265
91407163806083770
10299429120315061
11874531a4353710
12296bb452677099
13cb10077809989
1453d2637c4ba29
152493c8a2a2926
hex11054465a0eb5

299429120315061 has 96 divisors (see below), whose sum is σ = 488585845223424. Its totient is φ = 175064047488000.

The previous prime is 299429120315053. The next prime is 299429120315071. The reversal of 299429120315061 is 160513021924992.

299429120315061 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 2 + 9 + 120 + 3 + 1 + 506 + 1 = 666.

It is not a de Polignac number, because 299429120315061 - 23 = 299429120315053 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 299429120314989 and 299429120315007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299429120315071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3469949326 + ... + 3470035616.

It is an arithmetic number, because the mean of its divisors is an integer number (5089435887744).

Almost surely, 2299429120315061 is an apocalyptic number.

It is an amenable number.

299429120315061 is a deficient number, since it is larger than the sum of its proper divisors (189156724908363).

299429120315061 is a wasteful number, since it uses less digits than its factorization.

299429120315061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89895 (or 89892 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 299429120315061 in words is "two hundred ninety-nine trillion, four hundred twenty-nine billion, one hundred twenty million, three hundred fifteen thousand, sixty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 353 1023 1059 3069 3177 3203 3883 9609 10943 11649 28827 32829 34947 35233 86291 98487 99293 105699 120373 258873 297879 317097 361119 776619 893637 949201 1083357 1092223 1130659 2675021 2847603 3276669 3391977 8025063 8542809 9830007 10175931 12437249 24075189 29425231 30460723 35050429 37311747 88275693 91382169 105151287 111935241 264827079 274146507 276390073 315453861 335067953 385554719 829170219 944282413 1005203859 1156664157 2487510657 2832847239 3015611577 3040290803 3469992471 8498541717 8568092263 9120872409 10387106543 25704276789 27362617227 31161319629 77112830367 93483958887 94249014893 97565695769 282747044679 292697087307 848241134037 878091261921 1073222653459 3024536568839 3219667960377 9073609706517 9659003881131 27220829119551 33269902257229 99809706771687 299429120315061