Search a number
-
+
1001010000 = 2435461547
BaseRepresentation
bin111011101010100…
…011001101010000
32120202120120120110
4323222203031100
54022224310000
6243155041320
733543305334
oct7352431520
92522516513
101001010000
114740536a1
1223b2a0240
1312c501b13
1496d317c4
155cd30850
hex3baa3350

1001010000 has 200 divisors, whose sum is σ = 3290371744. Its totient is φ = 262080000.

The previous prime is 1001009987. The next prime is 1001010011. The reversal of 1001010000 is 101001.

Adding to 1001010000 its reverse (101001), we get a palindrome (1001111001).

1001010000 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (3).

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1829727 + ... + 1830273.

Almost surely, 21001010000 is an apocalyptic number.

1001010000 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 1001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645185872).

1001010000 is an abundant number, since it is smaller than the sum of its proper divisors (2289361744).

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

1001010000 is an equidigital number, since it uses as much as digits as its factorization.

1001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1001010000 is about 31638.7420736034. The cubic root of 1001010000 is about 1000.3365533858.

The spelling of 1001010000 in words is "one billion, one million, ten thousand".