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13351102122141 = 3872331247651
BaseRepresentation
bin1100001001001000101110…
…1100110000100010011101
31202021100112021002100000000
43002102023230300202131
53222221024120402031
644221224525324513
72545404520401630
oct302221354604235
952240467070000
1013351102122141
1142881970a3793
1215b7649106739
1375b00799b604
143422a7dc9c17
1518245d3403e6
hexc248bb3089d

13351102122141 has 72 divisors (see below), whose sum is σ = 22984684317504. Its totient is φ = 7596451771200.

The previous prime is 13351102122119. The next prime is 13351102122151. The reversal of 13351102122141 is 14122120115331.

13351102122141 is a `hidden beast` number, since 1 + 3 + 3 + 511 + 0 + 2 + 1 + 2 + 2 + 141 = 666.

It is not a de Polignac number, because 13351102122141 - 27 = 13351102122013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13351102122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10077166 + ... + 11324816.

It is an arithmetic number, because the mean of its divisors is an integer number (319231726632).

Almost surely, 213351102122141 is an apocalyptic number.

It is an amenable number.

13351102122141 is a deficient number, since it is larger than the sum of its proper divisors (9633582195363).

13351102122141 is an frugal number, since it uses more digits than its factorization.

13351102122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247915 (or 1247894 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13351102122141 its reverse (14122120115331), we get a palindrome (27473222237472).

The spelling of 13351102122141 in words is "thirteen trillion, three hundred fifty-one billion, one hundred two million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 233 243 567 699 729 1631 1701 2097 2187 4893 5103 6291 6561 14679 15309 18873 44037 45927 56619 132111 169857 396333 509571 1188999 1247651 1528713 3566997 3742953 8733557 10700991 11228859 26200671 33686577 78602013 101059731 235806039 290702683 303179193 707418117 872108049 909537579 2034918781 2122254351 2616324147 2728612737 6104756343 6366763053 7848972441 8185838211 18314269029 19100289159 23546917323 54942807087 57300867477 70640751969 164828421261 211922255907 494485263783 635766767721 1483455791349 1907300303163 4450367374047 13351102122141