Search a number
-
+
102303000000 = 263556421
BaseRepresentation
bin101111101000110111…
…0111110010111000000
3100210001200010212100000
41133101232332113000
53134004032000000
6114555232200000
710251110103135
oct1372156762700
9323050125300
10102303000000
113a428416093
12179b1099000
139854995236
144d46c7058c
1529db500000
hex17d1bbe5c0

102303000000 has 588 divisors, whose sum is σ = 381014966696. Its totient is φ = 27216000000.

The previous prime is 102302999989. The next prime is 102303000001. The reversal of 102303000000 is 303201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102303000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 242999790 + ... + 243000210.

Almost surely, 2102303000000 is an apocalyptic number.

102303000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102303000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190507483348).

102303000000 is an abundant number, since it is smaller than the sum of its proper divisors (278711966696).

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

102303000000 is an frugal number, since it uses more digits than its factorization.

102303000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 102303000000 its reverse (303201), we get a palindrome (102303303201).

The spelling of 102303000000 in words is "one hundred two billion, three hundred three million", and thus it is an aban number.