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100020000313 = 3113697235559
BaseRepresentation
bin101110100100110101…
…0000001011000111001
3100120011120021110112001
41131021222001120321
53114320110002223
6113540515421001
710140405655312
oct1351152013071
9316146243461
10100020000313
1139466756692
12174745b4761
13957c9c304c
144bab989609
152905d8a9ad
hex1749a81639

100020000313 has 8 divisors (see below), whose sum is σ = 103254428160. Its totient is φ = 96786071040.

The previous prime is 100020000299. The next prime is 100020000319. The reversal of 100020000313 is 313000020001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100020000313 is a prime.

It is a super-2 number, since 2×1000200003132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100020000313.

It is not an unprimeable number, because it can be changed into a prime (100020000319) 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 7 ways as a sum of consecutive naturals, for example, 306828 + ... + 542386.

It is an arithmetic number, because the mean of its divisors is an integer number (12906803520).

Almost surely, 2100020000313 is an apocalyptic number.

It is an amenable number.

100020000313 is a deficient number, since it is larger than the sum of its proper divisors (3234427847).

100020000313 is a wasteful number, since it uses less digits than its factorization.

100020000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249287.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100020000313 its reverse (313000020001), we get a palindrome (413020020314).

The spelling of 100020000313 in words is "one hundred billion, twenty million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 31 13697 235559 424607 7302329 3226451623 100020000313