Search a number
-
+
10232103000000 = 2635672771759
BaseRepresentation
bin1001010011100101100011…
…0111010101011111000000
31100020011211211222022100210
42110321120313111133000
52320120321332000000
633432321353514120
72104150023320430
oct224713067253700
940204754868323
1010232103000000
113295457436282
121193072712940
13592b6343ac8b
14275344a862c0
1512b26194c350
hex94e58dd57c0

10232103000000 has 784 divisors, whose sum is σ = 38836102891520. Its totient is φ = 2328998400000.

The previous prime is 10232102999977. The next prime is 10232103000011. The reversal of 10232103000000 is 30123201.

It is a happy number.

10232103000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10232103000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5816999121 + ... + 5817000879.

Almost surely, 210232103000000 is an apocalyptic number.

10232103000000 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 10232103000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418051445760).

10232103000000 is an abundant number, since it is smaller than the sum of its proper divisors (28603999891520).

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

10232103000000 is an frugal number, since it uses more digits than its factorization.

10232103000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10232103000000 its reverse (30123201), we get a palindrome (10232133123201).

The spelling of 10232103000000 in words is "ten trillion, two hundred thirty-two billion, one hundred three million", and thus it is an aban number.