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12143332213101 = 3223312193316291
BaseRepresentation
bin1011000010110101011100…
…0000001100000101101101
31120222220001200220221120200
42300231113000030011231
53042424021021304401
641454323024504113
72362220043510555
oct260552700140555
946886050827520
1012143332213101
113961a5a504a71
12144156147b039
136a115a7322bb
142dda519b0165
15160d21459686
hexb0b5700c16d

12143332213101 has 72 divisors (see below), whose sum is σ = 19010510520768. Its totient is φ = 7454929996800.

The previous prime is 12143332213097. The next prime is 12143332213169. The reversal of 12143332213101 is 10131223334121.

12143332213101 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 333 + 221 + 3 + 101 = 666.

It is not a de Polignac number, because 12143332213101 - 22 = 12143332213097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143332213601) 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, 38234766 + ... + 38551056.

It is an arithmetic number, because the mean of its divisors is an integer number (264034868344).

Almost surely, 212143332213101 is an apocalyptic number.

It is an amenable number.

12143332213101 is a deficient number, since it is larger than the sum of its proper divisors (6867178307667).

12143332213101 is a wasteful number, since it uses less digits than its factorization.

12143332213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316575 (or 316541 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12143332213101 its reverse (10131223334121), we get a palindrome (22274555547222).

The spelling of 12143332213101 in words is "twelve trillion, one hundred forty-three billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 23 31 69 93 193 207 279 579 713 961 1737 2139 2883 4439 5983 6417 8649 13317 17949 22103 39951 53847 66309 137609 185473 198927 316291 412827 556419 948873 1238481 1669257 2846619 4265879 7274693 9805021 12797637 21824079 29415063 38392911 61044163 65472237 88245189 183132489 225515483 303955651 549397467 676546449 911866953 1404015749 1892369053 2029639347 2735600859 4212047247 5677107159 6990979973 12636141741 17031321477 20972939919 43524488219 58663440643 62918819757 130573464657 175990321929 391720393971 527970965787 1349259134789 4047777404367 12143332213101