Search a number
-
+
102313300331 = 11291673495503
BaseRepresentation
bin101111101001001011…
…0010001000101101011
3100210002101112011201202
41133102112101011223
53134014201102311
6115000241034415
710251263463224
oct1372226210553
9323071464652
10102313300331
113a433210960
12179b4625a0b
139856b606c8
144d4839224b
1529dc386e3b
hex17d259116b

102313300331 has 32 divisors (see below), whose sum is σ = 116508672000. Its totient is φ = 88995070080.

The previous prime is 102313300319. The next prime is 102313300363. The reversal of 102313300331 is 133003313201.

It is not a de Polignac number, because 102313300331 - 26 = 102313300267 is a prime.

It is a super-2 number, since 2×1023133003312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102313305331) 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 31 ways as a sum of consecutive naturals, for example, 18589526 + ... + 18595028.

It is an arithmetic number, because the mean of its divisors is an integer number (3640896000).

Almost surely, 2102313300331 is an apocalyptic number.

102313300331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102313300331 is a deficient number, since it is larger than the sum of its proper divisors (14195371669).

102313300331 is a wasteful number, since it uses less digits than its factorization.

102313300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 102313300331 its reverse (133003313201), we get a palindrome (235316613532).

The spelling of 102313300331 in words is "one hundred two billion, three hundred thirteen million, three hundred thousand, three hundred thirty-one".

Divisors: 1 11 29 167 319 349 1837 3839 4843 5503 10121 53273 58283 60533 111331 159587 641113 919001 1690207 1755457 1920547 10109011 18592277 21126017 26651029 55695863 293161319 320731349 612654493 3528044839 9301209121 102313300331