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10000200020 = 2251761347981
BaseRepresentation
bin10010101000000111…
…01111000101010100
3221210221010210111112
421110003233011110
5130440022400040
64332150554152
7502546204046
oct112403570524
927727123445
1010000200020
114271941318
121b31068958
13c34a5a525
146ac1b5a96
153d7dec365
hex2540ef154

10000200020 has 48 divisors (see below), whose sum is σ = 22272476688. Its totient is φ = 3758561280.

The previous prime is 10000200017. The next prime is 10000200031. The reversal of 10000200020 is 2000200001.

It can be written as a sum of positive squares in 8 ways, for example, as 1629413956 + 8370786064 = 40366^2 + 91492^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

10000200020 is a modest number, since divided by 200020 gives 100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10000199977 and 10000200013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184430 + ... + 232410.

It is an arithmetic number, because the mean of its divisors is an integer number (464009931).

Almost surely, 210000200020 is an apocalyptic number.

10000200020 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 10000200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136238344).

10000200020 is an abundant number, since it is smaller than the sum of its proper divisors (12272276668).

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

10000200020 is a wasteful number, since it uses less digits than its factorization.

10000200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48620 (or 48618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 10000200020 its reverse (2000200001), we get a palindrome (12000400021).

The spelling of 10000200020 in words is "ten billion, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 613 1226 2452 3065 6130 10421 12260 20842 41684 47981 52105 95962 104210 191924 208420 239905 479810 815677 959620 1631354 3262708 4078385 8156770 16313540 29412353 58824706 117649412 147061765 294123530 500010001 588247060 1000020002 2000040004 2500050005 5000100010 10000200020