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331320202023133 = 10143142011811743
BaseRepresentation
bin100101101010101010111111…
…0111100101101000011011101
31121110002220100112122220110101
41023111111332330231003131
5321411322233204220013
63132354222150341101
7126534044320206421
oct11325257674550335
91543086315586411
10331320202023133
11966291215a6754
12311b00a935a791
13112b449012b22b
145bb5daa400b81
1528485eadd28dd
hex12d557ef2d0dd

331320202023133 has 16 divisors (see below), whose sum is σ = 335456953362432. Its totient is φ = 327200605200000.

The previous prime is 331320202023131. The next prime is 331320202023163.

331320202023133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 331320202023133 - 21 = 331320202023131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331320202023131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181967860 + ... + 183779602.

It is an arithmetic number, because the mean of its divisors is an integer number (20966059585152).

Almost surely, 2331320202023133 is an apocalyptic number.

It is an amenable number.

331320202023133 is a deficient number, since it is larger than the sum of its proper divisors (4136751339299).

331320202023133 is a wasteful number, since it uses less digits than its factorization.

331320202023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816476.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 33132020 and 2023133, that added together give a palindrome (35155153).

The spelling of 331320202023133 in words is "three hundred thirty-one trillion, three hundred twenty billion, two hundred two million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 101 431 4201 43531 424301 1810631 1811743 182873731 182986043 780861233 7611132343 78866984533 768724366643 3280398039833 331320202023133