Search a number
-
+
103303300100310 = 23257049891628131
BaseRepresentation
bin10111011111010000101100…
…100000011011000011010110
3111112202200212121020022001100
4113133100230200123003112
5102020010124311202220
61003412514140010530
730521263035542502
oct2737205440330326
9445680777208040
10103303300100310
112aa08757882382
12b704a56230a46
1345845c83c060b
141b71c99251302
15be2251294d90
hex5df42c81b0d6

103303300100310 has 48 divisors (see below), whose sum is σ = 268589126211120. Its totient is φ = 27547490698560.

The previous prime is 103303300100303. The next prime is 103303300100323. The reversal of 103303300100310 is 13001003303301.

103303300100310 is a `hidden beast` number, since 1 + 0 + 330 + 3 + 300 + 1 + 0 + 0 + 31 + 0 = 666.

103303300100310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1033033001003102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62634945 + ... + 64263075.

It is an arithmetic number, because the mean of its divisors is an integer number (5595606796065).

Almost surely, 2103303300100310 is an apocalyptic number.

103303300100310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103303300100310 is an abundant number, since it is smaller than the sum of its proper divisors (165285826110810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103303300100310 is a wasteful number, since it uses less digits than its factorization.

103303300100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333133 (or 2333130 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103303300100310 its reverse (13001003303301), we get a palindrome (116304303403611).

The spelling of 103303300100310 in words is "one hundred three trillion, three hundred three billion, three hundred million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 704989 1409978 1628131 2114967 3256262 3524945 4229934 4884393 6344901 7049890 8140655 9768786 10574835 12689802 14653179 16281310 21149670 24421965 29306358 31724505 48843930 63449010 73265895 146531790 1147814445559 2295628891118 3443443336677 5739072227795 6886886673354 10330330010031 11478144455590 17217216683385 20660660020062 34434433366770 51651650050155 103303300100310