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212000120101133 = 7134171256320021
BaseRepresentation
bin110000001101000000011111…
…110110011101100100001101
31000210122000100212200221010222
4300031000133312131210031
5210241402221221214013
62030515302145441125
762440334415222230
oct6015003766354415
91023560325627128
10212000120101133
1161605822a68991
121b93b0633401a5
13913a6aa80c710
143a4cc09547417
1519799227d5508
hexc0d01fd9d90d

212000120101133 has 96 divisors (see below), whose sum is σ = 271599938217216. Its totient is φ = 161045748864000.

The previous prime is 212000120101123. The next prime is 212000120101163. The reversal of 212000120101133 is 331101021000212.

It is not a de Polignac number, because 212000120101133 - 238 = 211725242194189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000120101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10588877663 + ... + 10588897683.

It is an arithmetic number, because the mean of its divisors is an integer number (2829166023096).

Almost surely, 2212000120101133 is an apocalyptic number.

It is an amenable number.

212000120101133 is a deficient number, since it is larger than the sum of its proper divisors (59599818116083).

212000120101133 is a wasteful number, since it uses less digits than its factorization.

212000120101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20787 (or 20716 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212000120101133 its reverse (331101021000212), we get a palindrome (543101141101345).

The spelling of 212000120101133 in words is "two hundred twelve trillion, one hundred twenty million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 7 13 41 71 91 287 497 533 563 923 2911 3731 3941 5041 6461 7319 20021 20377 23083 35287 37843 39973 51233 65533 140147 161581 206681 260273 264901 279811 300079 458731 519649 820861 1421491 1446767 1638893 1821911 2100553 2686853 2838083 3637543 5746027 9950437 10671193 11271823 11472251 18479383 18807971 19866581 21305609 36895079 58281131 74698351 78902761 100925861 116361403 129355681 146533699 149139263 258265553 407967917 462144743 706481027 757654703 800299433 814529821 1025735893 1312036193 1512698239 3235013201 4137960301 5303582921 5602096031 6007881659 9184253351 10403892629 10588887673 28965722107 32812276753 42055171613 53793483913 56821259743 72827248403 229685937271 376554387391 397748818201 426559597789 738676376659 2329671649463 2985917184523 5170734636613 16307701546241 30285731443019 212000120101133