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12154214201301 = 321989978233207
BaseRepresentation
bin1011000011011101111110…
…0111101011011111010101
31121000221011002022020001200
42300313133213223133111
53043113312313420201
641503322515343113
72363053521052644
oct260673747533725
947027132266050
1012154214201301
113966634069847
1214436998b1a99
136a21a307a983
143003a4d2135b
1516125b987386
hexb0ddf9eb7d5

12154214201301 has 48 divisors (see below), whose sum is σ = 18880392585600. Its totient is φ = 7511845423104.

The previous prime is 12154214201291. The next prime is 12154214201309. The reversal of 12154214201301 is 10310241245121.

12154214201301 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 421 + 4 + 201 + 30 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12154214201301 is a prime.

It is a super-2 number, since 2×121542142013012 (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 (12154214201309) 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, 2640361 + ... + 5592846.

It is an arithmetic number, because the mean of its divisors is an integer number (393341512200).

Almost surely, 212154214201301 is an apocalyptic number.

It is an amenable number.

12154214201301 is a deficient number, since it is larger than the sum of its proper divisors (6726178384299).

12154214201301 is a wasteful number, since it uses less digits than its factorization.

12154214201301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233418 (or 8233415 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 12154214201301 its reverse (10310241245121), we get a palindrome (22464455446422).

The spelling of 12154214201301 in words is "twelve trillion, one hundred fifty-four billion, two hundred fourteen million, two hundred one thousand, three hundred one".

Divisors: 1 3 9 19 57 89 97 171 267 291 801 873 1691 1843 5073 5529 8633 15219 16587 25899 77697 164027 492081 1476243 8233207 24699621 74098863 156430933 469292799 732755423 798621079 1407878397 2198266269 2395863237 6594798807 7187589711 13922353037 15173800501 41767059111 45521401503 71077276031 125301177333 136564204509 213231828093 639695484279 1350468244589 4051404733767 12154214201301