Search a number
-
+
102300000 = 253551131
BaseRepresentation
bin1100001100011…
…11100101100000
321010111101012220
412012033211200
5202142100000
614052351040
72351351505
oct606174540
9233441186
10102300000
1152822560
122a315480
131826a65a
14d82d4ac
158eab1a0
hex618f960

102300000 has 288 divisors, whose sum is σ = 377975808. Its totient is φ = 24000000.

The previous prime is 102299987. The next prime is 102300001. The reversal of 102300000 is 3201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102300001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3299985 + ... + 3300015.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2102300000 is an apocalyptic number.

102300000 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 102300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

102300000 is an abundant number, since it is smaller than the sum of its proper divisors (275675808).

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

102300000 is an equidigital number, since it uses as much as digits as its factorization.

102300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

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

The square root of 102300000 is about 10114.3462467922. The cubic root of 102300000 is about 467.6904959222.

Adding to 102300000 its reverse (3201), we get a palindrome (102303201).

The spelling of 102300000 in words is "one hundred two million, three hundred thousand".