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101203013313 = 3239728324381
BaseRepresentation
bin101111001000000101…
…0110110111011000001
3100200020000022202021100
41132100022312323001
53124230432411223
6114254135445013
710211622263643
oct1362012667301
9320200282240
10101203013313
1139a1350a886
1217744826769
13970ab1a63c
144c80b36893
152974b6d043
hex17902b6ec1

101203013313 has 12 divisors (see below), whose sum is σ = 146550352468. Its totient is φ = 67298726880.

The previous prime is 101203013309. The next prime is 101203013371. The reversal of 101203013313 is 313310302101.

It is a happy number.

101203013313 is a `hidden beast` number, since 10 + 1 + 20 + 301 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60185827584 + 41017185729 = 245328^2 + 202527^2 .

It is not a de Polignac number, because 101203013313 - 22 = 101203013309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101203013413) 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, 14158618 + ... + 14165763.

Almost surely, 2101203013313 is an apocalyptic number.

It is an amenable number.

101203013313 is a deficient number, since it is larger than the sum of its proper divisors (45347339155).

101203013313 is a wasteful number, since it uses less digits than its factorization.

101203013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28324784 (or 28324781 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101203013313 its reverse (313310302101), we get a palindrome (414513315414).

The spelling of 101203013313 in words is "one hundred one billion, two hundred three million, thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 397 1191 3573 28324381 84973143 254919429 11244779257 33734337771 101203013313