Search a number
-
+
103301020319 = 717868075801
BaseRepresentation
bin110000000110100111…
…0000111101010011111
3100212122020002112211112
41200031032013222133
53143030030122234
6115242243212235
710314616120310
oct1401516075237
9325566075745
10103301020319
113a89a807572
121802b37707b
13998368b2c3
144ddd624607
152a48e3eace
hex180d387a9f

103301020319 has 8 divisors (see below), whose sum is σ = 125002915488. Its totient is φ = 83335276800.

The previous prime is 103301020301. The next prime is 103301020327. The reversal of 103301020319 is 913020103301.

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-103301020319 is a prime.

It is a super-2 number, since 2×1033010203192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103301020294 and 103301020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103301020369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434037782 + ... + 434038019.

It is an arithmetic number, because the mean of its divisors is an integer number (15625364436).

Almost surely, 2103301020319 is an apocalyptic number.

103301020319 is a deficient number, since it is larger than the sum of its proper divisors (21701895169).

103301020319 is an equidigital number, since it uses as much as digits as its factorization.

103301020319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868075825.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 103301020319 in words is "one hundred three billion, three hundred one million, twenty thousand, three hundred nineteen".

Divisors: 1 7 17 119 868075801 6076530607 14757288617 103301020319