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1003303010213 = 72113181199749
BaseRepresentation
bin11101001100110011000…
…01001111111110100101
310112220200220121201200122
432212121201033332211
5112414231032311323
62044524441251325
7132325532606300
oct16463141177645
93486626551618
101003303010213
113575534363a9
12142544193b45
13737c369305a
14367bada7b37
151b171710ec8
hexe99984ffa5

1003303010213 has 12 divisors (see below), whose sum is σ = 1177435975500. Its totient is φ = 852363614592.

The previous prime is 1003303010141. The next prime is 1003303010219. The reversal of 1003303010213 is 3120103033001.

It can be written as a sum of positive squares in 2 ways, for example, as 543791206084 + 459511804129 = 737422^2 + 677873^2 .

It is not a de Polignac number, because 1003303010213 - 212 = 1003303006117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003303010191 and 1003303010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003303010219) 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 11 ways as a sum of consecutive naturals, for example, 90594338 + ... + 90605411.

It is an arithmetic number, because the mean of its divisors is an integer number (98119664625).

Almost surely, 21003303010213 is an apocalyptic number.

It is an amenable number.

1003303010213 is a deficient number, since it is larger than the sum of its proper divisors (174132965287).

1003303010213 is a wasteful number, since it uses less digits than its factorization.

1003303010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181199876 (or 181199869 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1003303010213 its reverse (3120103033001), we get a palindrome (4123406043214).

The spelling of 1003303010213 in words is "one trillion, three billion, three hundred three million, ten thousand, two hundred thirteen".

Divisors: 1 7 49 113 791 5537 181199749 1268398243 8878787701 20475571637 143329001459 1003303010213