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7101420192801 = 3211223235112
BaseRepresentation
bin110011101010110110110…
…1000001100010000100001
3221010220000011221120220100
41213111231220030100201
51412322202032132201
623034203012133013
71332026545452414
oct147255550142041
927126004846810
107101420192801
112298771624300
12968377307169
133c687943692c
141a79d3b43b7b
15c4ace46b886
hex6756da0c421

7101420192801 has 81 divisors (see below), whose sum is σ = 11789774444721. Its totient is φ = 4115592795600.

The previous prime is 7101420192791. The next prime is 7101420192851. The reversal of 7101420192801 is 1082910241017.

The square root of 7101420192801 is 2664849.

It is a perfect power (a square), and thus also a powerful number.

7101420192801 is a `hidden beast` number, since 71 + 0 + 1 + 420 + 1 + 92 + 80 + 1 = 666.

It is not a de Polignac number, because 7101420192801 - 225 = 7101386638369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7101420192851) 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 80 ways as a sum of consecutive naturals, for example, 2022618636 + ... + 2022622146.

Almost surely, 27101420192801 is an apocalyptic number.

7101420192801 is the 2664849-th square number.

7101420192801 is the 1332425-th centered octagonal number.

It is an amenable number.

7101420192801 is a deficient number, since it is larger than the sum of its proper divisors (4688354251920).

7101420192801 is an equidigital number, since it uses as much as digits as its factorization.

7101420192801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Multiplying 7101420192801 by its sum of digits (36), we get a square (255651126940836 = 159890942).

The spelling of 7101420192801 in words is "seven trillion, one hundred one billion, four hundred twenty million, one hundred ninety-two thousand, eight hundred one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 529 759 1089 1587 2277 2783 3511 4761 5819 8349 10533 17457 25047 31599 38621 52371 64009 80753 115863 192027 242259 347589 424831 576081 726777 888283 1274493 1857319 2664849 3823479 5571957 7994547 9771113 12327121 16715871 20430509 29313339 36981363 61291527 87940017 110944089 135598331 183874581 224735599 283523783 406794993 674206797 850571349 1220384979 1491581641 2022620391 2551714047 3118761613 4474744923 6521047009 9356284839 13424234769 19563141027 28068854517 34306377743 58689423081 71731517099 102919133229 215194551297 308757399687 645583653891 789046688089 2367140064267 7101420192801