Search a number
-
+
102311000000 = 26561171131
BaseRepresentation
bin101111101001000110…
…1011111011111000000
3100210002020012022021022
41133102031133133000
53134013104000000
6115000115445012
710251235102556
oct1372215373700
9323066168238
10102311000000
113a43198a660
12179b38b6768
139856536671
144d47d53bd6
1529dc080585
hex17d235f7c0

102311000000 has 392 divisors, whose sum is σ = 282888878976. Its totient is φ = 36400000000.

The previous prime is 102310999997. The next prime is 102311000003. The reversal of 102311000000 is 113201.

It is an interprime number because it is at equal distance from previous prime (102310999997) and next prime (102311000003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102311000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 780999935 + ... + 781000065.

Almost surely, 2102311000000 is an apocalyptic number.

102311000000 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 102311000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141444439488).

102311000000 is an abundant number, since it is smaller than the sum of its proper divisors (180577878976).

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

102311000000 is an frugal number, since it uses more digits than its factorization.

102311000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 102311000000 its reverse (113201), we get a palindrome (102311113201).

The spelling of 102311000000 in words is "one hundred two billion, three hundred eleven million", and thus it is an aban number.