Search a number
-
+
102203303120 = 2451277541289
BaseRepresentation
bin101111100101111001…
…0101010010011010000
3100202210201112201220222
41133023302222103100
53133303021144440
6114541311252212
710245456512522
oct1371362522320
9322721481828
10102203303120
113a387111376
121798381a068
13983a1296b9
144d3791ba12
1529d28aa2b5
hex17cbcaa4d0

102203303120 has 20 divisors (see below), whose sum is σ = 237622679940. Its totient is φ = 40881321216.

The previous prime is 102203303113. The next prime is 102203303173. The reversal of 102203303120 is 21303302201.

It can be written as a sum of positive squares in 2 ways, for example, as 17971011136 + 84232291984 = 134056^2 + 290228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 638770565 + ... + 638770724.

It is an arithmetic number, because the mean of its divisors is an integer number (11881133997).

Almost surely, 2102203303120 is an apocalyptic number.

102203303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102203303120 is an abundant number, since it is smaller than the sum of its proper divisors (135419376820).

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

102203303120 is a wasteful number, since it uses less digits than its factorization.

102203303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277541302 (or 1277541296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102203303120 its reverse (21303302201), we get a palindrome (123506605321).

The spelling of 102203303120 in words is "one hundred two billion, two hundred three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1277541289 2555082578 5110165156 6387706445 10220330312 12775412890 20440660624 25550825780 51101651560 102203303120