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233131221213 = 31110197771593
BaseRepresentation
bin1101100100011110110…
…1000010000011011101
3211021202022112002212120
43121013231002003131
512304423043034323
6255033215053153
722562131453452
oct3310755020335
9737668462776
10233131221213
118a963551060
12392232111b9
1318ca4321097
14b3d832d829
1560e6e125e3
hex3647b420dd

233131221213 has 32 divisors (see below), whose sum is σ = 342812691072. Its totient is φ = 139747584000.

The previous prime is 233131221133. The next prime is 233131221223. The reversal of 233131221213 is 312122131332.

233131221213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233131221213 - 29 = 233131220701 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233131221223) 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 31 ways as a sum of consecutive naturals, for example, 3220545 + ... + 3292137.

It is an arithmetic number, because the mean of its divisors is an integer number (10712896596).

Almost surely, 2233131221213 is an apocalyptic number.

It is an amenable number.

233131221213 is a deficient number, since it is larger than the sum of its proper divisors (109681469859).

233131221213 is a wasteful number, since it uses less digits than its factorization.

233131221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72685.

The product of its digits is 1296, while the sum is 24.

Adding to 233131221213 its reverse (312122131332), we get a palindrome (545253352545).

The spelling of 233131221213 in words is "two hundred thirty-three billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 11 33 101 303 977 1111 2931 3333 10747 32241 71593 98677 214779 296031 787523 1085447 2362569 3256341 7230893 21692679 69946361 79539823 209839083 238619469 769409971 2308229913 7064582461 21193747383 77710407071 233131221213