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2002033200031 is a prime number
BaseRepresentation
bin11101001000100010011…
…110100100101110011111
321002101121010200010001221
4131020202132210232133
5230300130444400111
64131415451314211
7264433151263654
oct35104236445637
97071533603057
102002033200031
1170206a604097
12284010a4b967
13116a38864107
146cc8290bc2b
153712674c371
hex1d2227a4b9f

2002033200031 has 2 divisors, whose sum is σ = 2002033200032. Its totient is φ = 2002033200030.

The previous prime is 2002033200029. The next prime is 2002033200067. The reversal of 2002033200031 is 1300023302002.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2002033200031 - 21 = 2002033200029 is a prime.

It is a super-2 number, since 2×20020332000312 (a number of 25 digits) contains 22 as substring.

Together with 2002033200029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2002033199978 and 2002033200014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002033200071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001016600015 + 1001016600016.

It is an arithmetic number, because the mean of its divisors is an integer number (1001016600016).

Almost surely, 22002033200031 is an apocalyptic number.

2002033200031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002033200031 is an equidigital number, since it uses as much as digits as its factorization.

2002033200031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2002033200031 its reverse (1300023302002), we get a palindrome (3302056502033).

The spelling of 2002033200031 in words is "two trillion, two billion, thirty-three million, two hundred thousand, thirty-one".