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13142020301 = 1923170917597
BaseRepresentation
bin11000011110101001…
…10101000011001101
31020220220000210200122
430033110311003031
5203403324122201
610012023034325
7643446220664
oct141724650315
936826023618
1013142020301
115634367403
12266929b9a5
131315938797
148c9577ddb
1551db56e1b
hex30f5350cd

13142020301 has 16 divisors (see below), whose sum is σ = 14444438400. Its totient is φ = 11901371328.

The previous prime is 13142020271. The next prime is 13142020337. The reversal of 13142020301 is 10302024131.

13142020301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13142020301 is a prime.

It is a super-3 number, since 3×131420203013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13142020301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142020361) 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 15 ways as a sum of consecutive naturals, for example, 738035 + ... + 755631.

It is an arithmetic number, because the mean of its divisors is an integer number (902777400).

Almost surely, 213142020301 is an apocalyptic number.

It is an amenable number.

13142020301 is a deficient number, since it is larger than the sum of its proper divisors (1302418099).

13142020301 is a wasteful number, since it uses less digits than its factorization.

13142020301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19348.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13142020301 its reverse (10302024131), we get a palindrome (23444044432).

The spelling of 13142020301 in words is "thirteen billion, one hundred forty-two million, twenty thousand, three hundred one".

Divisors: 1 19 23 437 1709 17597 32471 39307 334343 404731 746833 7689889 30073273 571392187 691685279 13142020301