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2002433023431 = 3515315382407
BaseRepresentation
bin11101001000111010010…
…011110001110111000111
321002102122000000020200000
4131020322103301313013
5230301440323222211
64131523253052343
7264446104601601
oct35107223616707
97072560006600
102002433023431
11702255269355
122841029270b3
13116aa06431c9
146ccbda68171
153714b8c8656
hex1d23a4f1dc7

2002433023431 has 24 divisors (see below), whose sum is σ = 3001489056384. Its totient is φ = 1334083151160.

The previous prime is 2002433023411. The next prime is 2002433023511. The reversal of 2002433023431 is 1343203342002.

2002433023431 is a `hidden beast` number, since 200 + 2 + 4 + 3 + 3 + 0 + 23 + 431 = 666.

It is not a de Polignac number, because 2002433023431 - 222 = 2002428829127 is a prime.

It is a super-2 number, since 2×20024330234312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2002433023395 and 2002433023404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002433023411) 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, 2319171 + ... + 3063236.

It is an arithmetic number, because the mean of its divisors is an integer number (125062044016).

Almost surely, 22002433023431 is an apocalyptic number.

2002433023431 is a deficient number, since it is larger than the sum of its proper divisors (999056032953).

2002433023431 is an equidigital number, since it uses as much as digits as its factorization.

2002433023431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383953 (or 5383941 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2002433023431 its reverse (1343203342002), we get a palindrome (3345636365433).

The spelling of 2002433023431 in words is "two trillion, two billion, four hundred thirty-three million, twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 243 1531 4593 13779 41337 124011 372033 5382407 16147221 48441663 145324989 435974967 1307924901 8240465117 24721395351 74164186053 222492558159 667477674477 2002433023431