Search a number
-
+
1010232300 = 22352711101433
BaseRepresentation
bin111100001101101…
…110101111101100
32121101221010012010
4330031232233230
54032104413200
6244124441220
734014555450
oct7415565754
92541833163
101010232300
11479282530
122423a9210
131313b06bc
1498252660
155da53150
hex3c36ebec

1010232300 has 288 divisors, whose sum is σ = 3688763904. Its totient is φ = 207360000.

The previous prime is 1010232271. The next prime is 1010232331. The reversal of 1010232300 is 32320101.

It is a happy number.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2332884 + ... + 2333316.

It is an arithmetic number, because the mean of its divisors is an integer number (12808208).

Almost surely, 21010232300 is an apocalyptic number.

1010232300 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 1010232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844381952).

1010232300 is an abundant number, since it is smaller than the sum of its proper divisors (2678531604).

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

1010232300 is a wasteful number, since it uses less digits than its factorization.

1010232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

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

The square root of 1010232300 is about 31784.1517111909. The cubic root of 1010232300 is about 1003.3991990206.

Adding to 1010232300 its reverse (32320101), we get a palindrome (1042552401).

The spelling of 1010232300 in words is "one billion, ten million, two hundred thirty-two thousand, three hundred".