Search a number
-
+
233013012203301 = 311448337109751
BaseRepresentation
bin110100111110110010010001…
…110100100000011100100101
31010120000211022110100111202020
4310332302101310200130211
5221020141122111001201
62143324411112533353
7100036430443122651
oct6476622164403445
91116024273314666
10233013012203301
1168277299830000
12221735963b1259
13a003056cb33b5
144177c660cba61
151be130ab1ea36
hexd3ec91d20725

233013012203301 has 40 divisors (see below), whose sum is σ = 341760479977920. Its totient is φ = 141215799120000.

The previous prime is 233013012203249. The next prime is 233013012203369. The reversal of 233013012203301 is 103302210310332.

It is not a de Polignac number, because 233013012203301 - 229 = 233012475332389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233013012203201) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2123051176 + ... + 2123160926.

It is an arithmetic number, because the mean of its divisors is an integer number (8544011999448).

Almost surely, 2233013012203301 is an apocalyptic number.

It is an amenable number.

233013012203301 is a deficient number, since it is larger than the sum of its proper divisors (108747467774619).

233013012203301 is an equidigital number, since it uses as much as digits as its factorization.

233013012203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158135 (or 158102 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 233013012203301 its reverse (103302210310332), we get a palindrome (336315222513633).

The spelling of 233013012203301 in words is "two hundred thirty-three trillion, thirteen billion, twelve million, two hundred three thousand, three hundred one".

Divisors: 1 3 11 33 121 363 1331 3993 14641 43923 48337 109751 145011 329253 531707 1207261 1595121 3621783 5848777 13279871 17546331 39839613 64336547 146078581 193009641 438235743 707702017 1606864391 2123106051 4820593173 5305034087 15915102261 58355374957 175066124871 641909124527 1925727373581 7061000369797 21183001109391 77671004067767 233013012203301