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13142422020351 = 31329471791381217
BaseRepresentation
bin1011111100111111010101…
…1001010110000011111111
31201112101212222122210100010
42333033311121112003333
53210311140014122401
643541313442434303
72524336316656461
oct277176531260377
951471788583303
1013142422020351
114207740676648
12158310a662993
1374442c275c40
1433614d1a6131
1517bce7d2ded6
hexbf3f56560ff

13142422020351 has 64 divisors (see below), whose sum is σ = 20048655513600. Its totient is φ = 7599914520576.

The previous prime is 13142422020349. The next prime is 13142422020379. The reversal of 13142422020351 is 15302022424131.

It is a happy number.

It is not a de Polignac number, because 13142422020351 - 21 = 13142422020349 is a prime.

It is a super-2 number, since 2×131424220203512 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142422020251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8824495 + ... + 10205711.

It is an arithmetic number, because the mean of its divisors is an integer number (313260242400).

Almost surely, 213142422020351 is an apocalyptic number.

13142422020351 is a deficient number, since it is larger than the sum of its proper divisors (6906233493249).

13142422020351 is a wasteful number, since it uses less digits than its factorization.

13142422020351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381488.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13142422020351 its reverse (15302022424131), we get a palindrome (28444444444482).

The spelling of 13142422020351 in words is "thirteen trillion, one hundred forty-two billion, four hundred twenty-two million, twenty thousand, three hundred fifty-one".

Divisors: 1 3 13 29 39 47 87 141 179 377 537 611 1131 1363 1833 2327 4089 5191 6981 8413 15573 17719 25239 53157 67483 109369 202449 243977 328107 731931 1381217 3171701 4143651 9515103 17955821 40055293 53867463 64917199 120165879 194751597 247237843 520718809 741713529 843923587 1562156427 1882598771 2531770761 3214091959 5647796313 7169897447 9642275877 11620178621 21509692341 24473784023 34860535863 73421352069 93208666811 151062322073 279626000433 336985180009 453186966219 1010955540027 4380807340117 13142422020351