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1003120302213 = 32251861442537
BaseRepresentation
bin11101001100011101010…
…00010001100010000101
310112220020011211012102200
432212032220101202011
5112413342244132323
62044454353225113
7132321153612021
oct16461650214205
93486204735380
101003120302213
1135746a294157
121424b2b62199
1373794881703
14367a0a07381
151b160670443
hexe98ea11885

1003120302213 has 12 divisors (see below), whose sum is σ = 1448960574828. Its totient is φ = 668742701760.

The previous prime is 1003120302199. The next prime is 1003120302253. The reversal of 1003120302213 is 3122030213001.

1003120302213 is a `hidden beast` number, since 100 + 31 + 20 + 302 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 177171962724 + 825948339489 = 420918^2 + 908817^2 .

It is not a de Polignac number, because 1003120302213 - 28 = 1003120301957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003120302253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2045481 + ... + 2488017.

It is an arithmetic number, because the mean of its divisors is an integer number (120746714569).

Almost surely, 21003120302213 is an apocalyptic number.

It is an amenable number.

1003120302213 is a deficient number, since it is larger than the sum of its proper divisors (445840272615).

1003120302213 is a wasteful number, since it uses less digits than its factorization.

1003120302213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694404 (or 694401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1003120302213 its reverse (3122030213001), we get a palindrome (4125150515214).

The spelling of 1003120302213 in words is "one trillion, three billion, one hundred twenty million, three hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 251861 442537 755583 1327611 2266749 3982833 111457811357 334373434071 1003120302213