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233021233031 = 3710794162549
BaseRepresentation
bin1101100100000100100…
…1011101011110000111
3211021110122120010110012
43121001021131132013
512304211413424111
6255014245420435
722556324541266
oct3310111353607
9737418503405
10233021233031
118a907458334
12391b240a71b
1318c875c1212
14b3c789c5dd
1560dc43848b
hex364125d787

233021233031 has 16 divisors (see below), whose sum is σ = 241816298400. Its totient is φ = 224362177920.

The previous prime is 233021233009. The next prime is 233021233061. The reversal of 233021233031 is 130332120332.

233021233031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233021233031 is a prime.

It is a super-2 number, since 2×2330212330312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233021232988 and 233021233006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233021233061) 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 15 ways as a sum of consecutive naturals, for example, 3694145 + ... + 3756693.

It is an arithmetic number, because the mean of its divisors is an integer number (15113518650).

Almost surely, 2233021233031 is an apocalyptic number.

233021233031 is a deficient number, since it is larger than the sum of its proper divisors (8795065369).

233021233031 is a wasteful number, since it uses less digits than its factorization.

233021233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63634.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 233021233031 its reverse (130332120332), we get a palindrome (363353353363).

The spelling of 233021233031 in words is "two hundred thirty-three billion, twenty-one million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 37 107 941 3959 34817 62549 100687 2314313 3725419 6692743 58858609 247631491 2177768533 6297871163 233021233031