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233131311321 = 3479162234733
BaseRepresentation
bin1101100100011110110…
…1011000000011011001
3211021202022200200110220
43121013231120003121
512304423103430241
6255033221030253
722562132310246
oct3310755300331
9737668620426
10233131311321
118a963602827
1239223255389
1318ca43530bc
14b3d83545cd
1560e6e2e166
hex3647b580d9

233131311321 has 8 divisors (see below), whose sum is σ = 311490689280. Its totient is φ = 155096403792.

The previous prime is 233131311317. The next prime is 233131311383. The reversal of 233131311321 is 123113131332.

233131311321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 233131311321 - 22 = 233131311317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233131311291 and 233131311300.

It is not an unprimeable number, because it can be changed into a prime (233131311121) 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 7 ways as a sum of consecutive naturals, for example, 81115930 + ... + 81118803.

It is an arithmetic number, because the mean of its divisors is an integer number (38936336160).

Almost surely, 2233131311321 is an apocalyptic number.

It is an amenable number.

233131311321 is a deficient number, since it is larger than the sum of its proper divisors (78359377959).

233131311321 is a wasteful number, since it uses less digits than its factorization.

233131311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162235215.

The product of its digits is 972, while the sum is 24.

Adding to 233131311321 its reverse (123113131332), we get a palindrome (356244442653).

The spelling of 233131311321 in words is "two hundred thirty-three billion, one hundred thirty-one million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 479 1437 162234733 486704199 77710437107 233131311321