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10202120020 = 2252272247163
BaseRepresentation
bin10011000000001011…
…11111111101010100
3222100000002101200001
421200011333331110
5131343220320040
64404202501044
7510550406101
oct114005777524
928300071601
1010202120020
114365915854
121b88804784
13c67837711
146cad37aa8
153ea9d559a
hex26017ff54

10202120020 has 24 divisors (see below), whose sum is σ = 21518842464. Its totient is φ = 4062868896.

The previous prime is 10202120017. The next prime is 10202120021. The reversal of 10202120020 is 2002120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10202119979 and 10202120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202120021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1119042 + ... + 1128121.

It is an arithmetic number, because the mean of its divisors is an integer number (896618436).

Almost surely, 210202120020 is an apocalyptic number.

10202120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202120020 is an abundant number, since it is smaller than the sum of its proper divisors (11316722444).

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

10202120020 is a wasteful number, since it uses less digits than its factorization.

10202120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247399 (or 2247397 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10202120020 its reverse (2002120201), we get a palindrome (12204240221).

The spelling of 10202120020 in words is "ten billion, two hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 227 454 908 1135 2270 4540 2247163 4494326 8988652 11235815 22471630 44943260 510106001 1020212002 2040424004 2550530005 5101060010 10202120020