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211332301113132 = 2232149914087277999
BaseRepresentation
bin110000000011010010100010…
…101111001100011100101100
31000201021011121102110022210100
4300003102202233030130230
5210144432023041110012
62025244415135111100
762341153300411143
oct6003224257143454
91021234542408710
10211332301113132
1161378586613981
121b851748072490
1390bc72054b614
143a287761c475a
151967388a728dc
hexc034a2bcc72c

211332301113132 has 72 divisors (see below), whose sum is σ = 534597336000000. Its totient is φ = 70391855788128.

The previous prime is 211332301113127. The next prime is 211332301113163. The reversal of 211332301113132 is 231311103233112.

211332301113132 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 230 + 111 + 313 + 2 = 666.

It is a super-2 number, since 2×2113323011131322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211332301113096 and 211332301113105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760051869 + ... + 760329867.

It is an arithmetic number, because the mean of its divisors is an integer number (7424963000000).

Almost surely, 2211332301113132 is an apocalyptic number.

It is an amenable number.

211332301113132 is an abundant number, since it is smaller than the sum of its proper divisors (323265034886868).

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

211332301113132 is a wasteful number, since it uses less digits than its factorization.

211332301113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293595 (or 293590 counting only the distinct ones).

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

Adding to 211332301113132 its reverse (231311103233112), we get a palindrome (442643404346244).

The spelling of 211332301113132 in words is "two hundred eleven trillion, three hundred thirty-two billion, three hundred one million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1499 2998 4497 5996 8994 13491 14087 17988 26982 28174 42261 53964 56348 84522 126783 169044 253566 277999 507132 555998 833997 1111996 1667994 2501991 3335988 5003982 10007964 21116413 42232826 63349239 84465652 126698478 190047717 253396956 380095434 416720501 760190868 833441002 1250161503 1666882004 2500323006 3750484509 3916171913 5000646012 7500969018 7832343826 11748515739 15001938036 15664687652 23497031478 35245547217 46994062956 70491094434 140982188868 5870341697587 11740683395174 17611025092761 23481366790348 35222050185522 52833075278283 70444100371044 105666150556566 211332301113132