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2031233011001 = 19241257533993
BaseRepresentation
bin11101100011101110111…
…011000000110100111001
321012011222010021012110022
4131203232323000310321
5231234431122323001
64153045140500225
7266515563501125
oct35435673006471
97164863235408
102031233011001
11713494098277
122897bb9aa675
1311971020b27c
147045297c585
1537c84eb311b
hex1d8eeec0d39

2031233011001 has 24 divisors (see below), whose sum is σ = 2204602772904. Its totient is φ = 1870082703360.

The previous prime is 2031233010991. The next prime is 2031233011007. The reversal of 2031233011001 is 1001103321302.

It can be written as a sum of positive squares in 4 ways, for example, as 263091029776 + 1768141981225 = 512924^2 + 1329715^2 .

It is a de Polignac number, because none of the positive numbers 2k-2031233011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2031233011007) 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 23 ways as a sum of consecutive naturals, for example, 3536861 + ... + 4070853.

It is an arithmetic number, because the mean of its divisors is an integer number (91858448871).

Almost surely, 22031233011001 is an apocalyptic number.

It is an amenable number.

2031233011001 is a deficient number, since it is larger than the sum of its proper divisors (173369761903).

2031233011001 is a wasteful number, since it uses less digits than its factorization.

2031233011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534329 (or 534310 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2031233011001 its reverse (1001103321302), we get a palindrome (3032336332303).

The spelling of 2031233011001 in words is "two trillion, thirty-one billion, two hundred thirty-three million, eleven thousand, one".

Divisors: 1 19 41 257 361 779 4883 10537 14801 92777 200203 533993 3803857 10145867 21893713 137236201 192771473 415980547 2607487819 5626684241 7903630393 49542268561 106907000579 2031233011001