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2003213037031 is a prime number
BaseRepresentation
bin11101001001101000110…
…011010010110111100111
321002111122100202001011121
4131021220303102313213
5230310040014141111
64132132515314411
7264504325603663
oct35115063226747
97074570661147
102003213037031
11702615599098
1228429bbaba07
13116b96118c0b
146cd554ad8a3
1537195103871
hex1d268cd2de7

2003213037031 has 2 divisors, whose sum is σ = 2003213037032. Its totient is φ = 2003213037030.

The previous prime is 2003213037019. The next prime is 2003213037043. The reversal of 2003213037031 is 1307303123002.

It is a balanced prime because it is at equal distance from previous prime (2003213037019) and next prime (2003213037043).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2003213037031 is a prime.

It is a super-2 number, since 2×20032130370312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003213036987 and 2003213037005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003214037031) 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 as a sum of consecutive naturals, namely, 1001606518515 + 1001606518516.

It is an arithmetic number, because the mean of its divisors is an integer number (1001606518516).

Almost surely, 22003213037031 is an apocalyptic number.

2003213037031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003213037031 is an equidigital number, since it uses as much as digits as its factorization.

2003213037031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

The spelling of 2003213037031 in words is "two trillion, three billion, two hundred thirteen million, thirty-seven thousand, thirty-one".