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13142024412021 = 3241653254921397
BaseRepresentation
bin1011111100111101110110…
…1100100101101101110101
31201112100212021111012020200
42333033131230211231311
53210304331222141041
643541210200351113
72524323421235511
oct277173554455565
951470767435220
1013142024412021
11420755719461a
121583019475499
13744397a9113b
14336112465141
1517bcc2e8e1b6
hexbf3ddb25b75

13142024412021 has 48 divisors (see below), whose sum is σ = 19484252751600. Its totient is φ = 8530821411840.

The previous prime is 13142024411969. The next prime is 13142024412073. The reversal of 13142024412021 is 12021442024131.

13142024412021 is a `hidden beast` number, since 1 + 3 + 14 + 2 + 0 + 2 + 441 + 202 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13142024411969) and next prime (13142024412073).

It can be written as a sum of positive squares in 8 ways, for example, as 340577288100 + 12801447123921 = 583590^2 + 3577911^2 .

It is not a de Polignac number, because 13142024412021 - 238 = 12867146505077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142024412221) 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 47 ways as a sum of consecutive naturals, for example, 614188695 + ... + 614210091.

It is an arithmetic number, because the mean of its divisors is an integer number (405921932325).

Almost surely, 213142024412021 is an apocalyptic number.

It is an amenable number.

13142024412021 is a deficient number, since it is larger than the sum of its proper divisors (6342228339579).

13142024412021 is a wasteful number, since it uses less digits than its factorization.

13142024412021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24646 (or 24643 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13142024412021 its reverse (12021442024131), we get a palindrome (25163466436152).

The spelling of 13142024412021 in words is "thirteen trillion, one hundred forty-two billion, twenty-four million, four hundred twelve thousand, twenty-one".

Divisors: 1 3 9 41 123 369 653 1959 2549 5877 7647 21397 22941 26773 64191 80319 104509 192573 240957 313527 877277 940581 1664497 2631831 4993491 7895493 13972241 14980473 41916723 54540953 68244377 125750169 163622859 204733131 490868577 572861881 614199393 1718585643 2236179073 5155756929 6708537219 20125611657 35615242309 106845726927 320537180781 1460224934669 4380674804007 13142024412021