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12331323132201 = 3317371477149157
BaseRepresentation
bin1011001101110001110000…
…1000101000100100101001
31121122212022010000010002000
42303130130020220210221
53104014022210212301
642120533122401213
72411623453120113
oct263343410504451
947585263003060
1012331323132201
113a24759481a17
121471a87200209
136b5ab9a5a538
14308ba6b8c3b3
15165b75467786
hexb371c228929

12331323132201 has 64 divisors (see below), whose sum is σ = 19867791663360. Its totient is φ = 7527521756160.

The previous prime is 12331323132197. The next prime is 12331323132217. The reversal of 12331323132201 is 10223132313321.

12331323132201 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 323 + 132 + 201 = 666.

It is not a de Polignac number, because 12331323132201 - 22 = 12331323132197 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12331323132241) 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 63 ways as a sum of consecutive naturals, for example, 250831315 + ... + 250880471.

It is an arithmetic number, because the mean of its divisors is an integer number (310434244740).

Almost surely, 212331323132201 is an apocalyptic number.

It is an amenable number.

12331323132201 is a deficient number, since it is larger than the sum of its proper divisors (7536468531159).

12331323132201 is a wasteful number, since it uses less digits than its factorization.

12331323132201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63991 (or 63985 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12331323132201 its reverse (10223132313321), we get a palindrome (22554455445522).

The spelling of 12331323132201 in words is "twelve trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 17 27 37 51 111 153 333 459 629 999 1887 5661 14771 16983 44313 49157 132939 147471 251107 398817 442413 546527 753321 835669 1327239 1639581 1818809 2259963 2507007 4918743 5456427 6779889 7521021 9290959 14756229 16369281 22563063 27872877 30919753 49107843 83618631 92759259 250855893 278277777 726098047 834833331 2178294141 6534882423 12343666799 19604647269 26865627739 37031000397 80596883217 111093001191 241790649651 333279003573 456715671563 725371948953 1370147014689 4110441044067 12331323132201