Search a number
-
+
121310212313020 = 225711011142374047
BaseRepresentation
bin11011100101010010111100…
…000111001100111110111100
3120220112010212021101202000011
4123211102330013030332330
5111400021303323004040
61110001050413513004
734360242102120103
oct3345227407147674
9526463767352004
10121310212313020
1135720410333315
12117328947a2764
13528c6721ba183
1421d5634a4703a
15e05854dc63ea
hex6e54bc1ccfbc

121310212313020 has 96 divisors (see below), whose sum is σ = 260923674525696. Its totient is φ = 47362191072000.

The previous prime is 121310212312943. The next prime is 121310212313077. The reversal of 121310212313020 is 20313212013121.

It is a super-2 number, since 2×1213102123130202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121310212312982 and 121310212313000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638249637 + ... + 1638323683.

It is an arithmetic number, because the mean of its divisors is an integer number (2717954942976).

Almost surely, 2121310212313020 is an apocalyptic number.

121310212313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121310212313020 is an abundant number, since it is smaller than the sum of its proper divisors (139613462212676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121310212313020 is a wasteful number, since it uses less digits than its factorization.

121310212313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85651 (or 85649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 121310212313020 its reverse (20313212013121), we get a palindrome (141623424326141).

The spelling of 121310212313020 in words is "one hundred twenty-one trillion, three hundred ten billion, two hundred twelve million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 71 101 142 202 284 355 404 505 710 1010 1420 2020 7171 11423 14342 22846 28684 35855 45692 57115 71710 74047 114230 143420 148094 228460 296188 370235 740470 811033 1153723 1480940 1622066 2307446 3244132 4055165 4614892 5257337 5768615 7478747 8110330 10514674 11537230 14957494 16220660 21029348 23074460 26286685 29914988 37393735 52573370 74787470 81914333 105146740 149574940 163828666 327657332 409571665 530991037 819143330 845838881 1061982074 1638286660 1691677762 2123964148 2654955185 3383355524 4229194405 5309910370 8458388810 10619820740 16916777620 60054560551 85429726981 120109121102 170859453962 240218242204 300272802755 341718907924 427148634905 600545605510 854297269810 1201091211020 1708594539620 6065510615651 12131021231302 24262042462604 30327553078255 60655106156510 121310212313020