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10002020202 = 2324517123017
BaseRepresentation
bin10010101000010101…
…01011011101101010
3221211001120021022200
421110022223131222
5130441004121302
64332254001030
7502600524516
oct112412533552
927731507280
1010002020202
1142729748a9
121b317a6176
13c35246b65
146ac52b146
153d815b81c
hex2542ab76a

10002020202 has 24 divisors (see below), whose sum is σ = 21676017636. Its totient is φ = 3333241536.

The previous prime is 10002020191. The next prime is 10002020209. The reversal of 10002020202 is 20202020001.

10002020202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9097153641 + 904866561 = 95379^2 + 30081^2 .

It is a super-2 number, since 2×100020202022 (a number of 21 digits) contains 22 as substring.

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

10002020202 is a modest number, since divided by 20202 gives 10002 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10002020209) 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 11 ways as a sum of consecutive naturals, for example, 19798 + ... + 142814.

Almost surely, 210002020202 is an apocalyptic number.

10002020202 is an abundant number, since it is smaller than the sum of its proper divisors (11673997434).

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

10002020202 is a wasteful number, since it uses less digits than its factorization.

10002020202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127542 (or 127539 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10002020202 its reverse (20202020001), we get a palindrome (30204040203).

It can be divided in two parts, 1000 and 2020202, that added together give a palindrome (2021202).

The spelling of 10002020202 in words is "ten billion, two million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 4517 9034 13551 27102 40653 81306 123017 246034 369051 738102 1107153 2214306 555667789 1111335578 1667003367 3334006734 5001010101 10002020202