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100303101313 = 1011933513761
BaseRepresentation
bin101110101101010000…
…1111101110110000001
3100120220021222111002021
41131122201331312001
53120410043220223
6114024551321441
710150414202542
oct1353241756601
9316807874067
10100303101313
11395a1538658
1217533380281
1395c655502c
144bd74004c9
152920b5c65d
hex175a87dd81

100303101313 has 8 divisors (see below), whose sum is σ = 101348802216. Its totient is φ = 99258432000.

The previous prime is 100303101277. The next prime is 100303101341. The reversal of 100303101313 is 313101303001.

It can be written as a sum of positive squares in 4 ways, for example, as 39337565569 + 60965535744 = 198337^2 + 246912^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100303101313 - 29 = 100303100801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100303101413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61648 + ... + 452113.

It is an arithmetic number, because the mean of its divisors is an integer number (12668600277).

Almost surely, 2100303101313 is an apocalyptic number.

It is an amenable number.

100303101313 is a deficient number, since it is larger than the sum of its proper divisors (1045700903).

100303101313 is a wasteful number, since it uses less digits than its factorization.

100303101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515795.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100303101313 its reverse (313101303001), we get a palindrome (413404404314).

The spelling of 100303101313 in words is "one hundred billion, three hundred three million, one hundred one thousand, three hundred thirteen".

Divisors: 1 101 1933 195233 513761 51889861 993100013 100303101313