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1002001050 = 233524143421
BaseRepresentation
bin111011101110010…
…101001010011010
32120211102221001000
4323232111022122
54023003013200
6243232205430
733554603601
oct7356251232
92524387030
101002001050
11474670246
1223b699876
1312c78ac3b
149710ca38
155ce79300
hex3bb9529a

1002001050 has 192 divisors, whose sum is σ = 2901064320. Its totient is φ = 254016000.

The previous prime is 1002000997. The next prime is 1002001057. The reversal of 1002001050 is 501002001.

It is a happy number.

It is a super-2 number, since 2×10020010502 = 2008012208402205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002001057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2379840 + ... + 2380260.

It is an arithmetic number, because the mean of its divisors is an integer number (15109710).

Almost surely, 21002001050 is an apocalyptic number.

1002001050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002001050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450532160).

1002001050 is an abundant number, since it is smaller than the sum of its proper divisors (1899063270).

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

1002001050 is a wasteful number, since it uses less digits than its factorization.

1002001050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1002001050 is about 31654.4001680651. The cubic root of 1002001050 is about 1000.6665722494. Note that the first 3 decimals are identical.

Adding to 1002001050 its reverse (501002001), we get a palindrome (1503003051).

The spelling of 1002001050 in words is "one billion, two million, one thousand, fifty".