Search a number
-
+
111313132332120 = 233251277332420699
BaseRepresentation
bin11001010011110100011011…
…101101100010010001011000
3112121010102122120200211100100
4121103310123231202101120
5104042223243334111440
61032424314054535400
732306052121261635
oct3123643355422130
9477112576624310
10111313132332120
11325166a8301924
1210599292967560
134a15a24cc1704
141d6b82766118c
15cd079b4c9230
hex653d1bb62458

111313132332120 has 96 divisors (see below), whose sum is σ = 361770661746000. Its totient is φ = 29683257305856.

The previous prime is 111313132332079. The next prime is 111313132332139. The reversal of 111313132332120 is 21233231313111.

111313132332120 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 313 + 2 + 3 + 321 + 20 = 666.

It is a super-3 number, since 3×1113131323321203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44773531 + ... + 47194229.

Almost surely, 2111313132332120 is an apocalyptic number.

111313132332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111313132332120 is an abundant number, since it is smaller than the sum of its proper divisors (250457529413880).

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

111313132332120 is a wasteful number, since it uses less digits than its factorization.

111313132332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548449 (or 2548442 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 111313132332120 its reverse (21233231313111), we get a palindrome (132546363645231).

The spelling of 111313132332120 in words is "one hundred eleven trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 127733 255466 383199 510932 638665 766398 1021864 1149597 1277330 1532796 1915995 2299194 2420699 2554660 3065592 3831990 4598388 4841398 5109320 5747985 7262097 7663980 9196776 9682796 11495970 12103495 14524194 15327960 19365592 21786291 22991940 24206990 29048388 36310485 43572582 45983880 48413980 58096776 72620970 87145164 96827960 108931455 145241940 174290328 217862910 290483880 435725820 871451640 309203145367 618406290734 927609436101 1236812581468 1546015726835 1855218872202 2473625162936 2782828308303 3092031453670 3710437744404 4638047180505 5565656616606 6184062907340 7420875488808 9276094361010 11131313233212 12368125814680 13914141541515 18552188722020 22262626466424 27828283083030 37104377444040 55656566166060 111313132332120