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1002002020 = 22550100101
BaseRepresentation
bin111011101110010…
…101011001100100
32120211102222100221
4323232111121210
54023003031040
6243232214124
733554606455
oct7356253144
92524388327
101002002020
11474670a48
1223b69a344
1312c78b506
149710d12c
155ce7974a
hex3bb95664

1002002020 has 12 divisors (see below), whose sum is σ = 2104204284. Its totient is φ = 400800800.

The previous prime is 1002002009. The next prime is 1002002021. The reversal of 1002002020 is 202002001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 536478244 + 465523776 = 23162^2 + 21576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002001994 and 1002002012.

It is not an unprimeable number, because it can be changed into a prime (1002002021) 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 3 ways as a sum of consecutive naturals, for example, 25050031 + ... + 25050070.

It is an arithmetic number, because the mean of its divisors is an integer number (175350357).

Almost surely, 21002002020 is an apocalyptic number.

1002002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002002020 is an abundant number, since it is smaller than the sum of its proper divisors (1102202264).

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

1002002020 is a wasteful number, since it uses less digits than its factorization.

1002002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50100110 (or 50100108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1002002020 is about 31654.4154897859. The cubic root of 1002002020 is about 1000.6668951520. Note that the first 3 decimals are identical.

Adding to 1002002020 its reverse (202002001), we get a palindrome (1204004021).

The spelling of 1002002020 in words is "one billion, two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 50100101 100200202 200400404 250500505 501001010 1002002020