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1002041201213 = 1327095783561
BaseRepresentation
bin11101001010011100100…
…11110101001000111101
310112210102222022012010222
432211032103311020331
5112404140021414323
62044155324311125
7132252341450663
oct16451623651075
93483388265128
101002041201213
11356a66153648
121422516a24a5
137365213a400
14366db588c33
151b0eaa669c8
hexe94e4f523d

1002041201213 has 12 divisors (see below), whose sum is σ = 1085078808468. Its totient is φ = 924937004160.

The previous prime is 1002041201081. The next prime is 1002041201237. The reversal of 1002041201213 is 3121021402001.

It can be written as a sum of positive squares in 6 ways, for example, as 444572898169 + 557468303044 = 666763^2 + 746638^2 .

It is not a de Polignac number, because 1002041201213 - 218 = 1002040939069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002041201191 and 1002041201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002041201243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11949953 + ... + 12033513.

It is an arithmetic number, because the mean of its divisors is an integer number (90423234039).

Almost surely, 21002041201213 is an apocalyptic number.

1002041201213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002041201213 is a deficient number, since it is larger than the sum of its proper divisors (83037607255).

1002041201213 is an equidigital number, since it uses as much as digits as its factorization.

1002041201213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154544 (or 154531 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1002041201213 its reverse (3121021402001), we get a palindrome (4123062603214).

The spelling of 1002041201213 in words is "one trillion, two billion, forty-one million, two hundred one thousand, two hundred thirteen".

Divisors: 1 13 169 70957 83561 922441 1086293 11991733 14121809 5929237877 77080092401 1002041201213