Search a number
-
+
121311013635 = 345746192821
BaseRepresentation
bin111000011111010110…
…0110010101100000011
3102121010101002000010000
41300332230302230003
53441421104414020
6131421324011043
711523125413410
oct1607654625403
9377111060100
10121311013635
11474a19a5069
121b616990a83
13b5939aa396
145c2b4d3107
15325011e090
hex1c3eb32b03

121311013635 has 80 divisors (see below), whose sum is σ = 249068901312. Its totient is φ = 55335571200.

The previous prime is 121311013589. The next prime is 121311013639. The reversal of 121311013635 is 536310113121.

It is a happy number.

121311013635 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 10 + 13 + 635 = 666.

It is not a de Polignac number, because 121311013635 - 29 = 121311013123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121311013599 and 121311013608.

It is not an unprimeable number, because it can be changed into a prime (121311013639) 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 79 ways as a sum of consecutive naturals, for example, 1260525 + ... + 1353345.

Almost surely, 2121311013635 is an apocalyptic number.

121311013635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121311013635 is an abundant number, since it is smaller than the sum of its proper divisors (127757887677).

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

121311013635 is an equidigital number, since it uses as much as digits as its factorization.

121311013635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93306 (or 93297 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 121311013635 its reverse (536310113121), we get a palindrome (657621126756).

The spelling of 121311013635 in words is "one hundred twenty-one billion, three hundred eleven million, thirteen thousand, six hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 461 567 945 1383 2305 2835 3227 4149 6915 9681 12447 16135 20745 29043 37341 48405 62235 87129 92821 145215 186705 261387 278463 435645 464105 649747 835389 1306935 1392315 1949241 2506167 3248735 4176945 5847723 7518501 9746205 12530835 17543169 29238615 37592505 42790481 52629507 87715845 128371443 213952405 263147535 299533367 385114329 641857215 898600101 1155342987 1497666835 1925571645 2695800303 3466028961 4493000505 5776714935 8087400909 13479001515 17330144805 24262202727 40437004545 121311013635