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10210220020 = 225711132232287
BaseRepresentation
bin10011000001001001…
…11001011111110100
3222100120022220210001
421200210321133310
5131402304020040
64405052241044
7511006303210
oct114044713764
928316286701
1010210220020
11436a448470
121b8b470184
13c69412510
146cc045940
153eb58559a
hex2609397f4

10210220020 has 192 divisors, whose sum is σ = 28930277376. Its totient is φ = 2923153920.

The previous prime is 10210220003. The next prime is 10210220023. The reversal of 10210220020 is 2002201201.

10210220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10210219979 and 10210220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210220023) 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 63 ways as a sum of consecutive naturals, for example, 4463317 + ... + 4465603.

It is an arithmetic number, because the mean of its divisors is an integer number (150678528).

Almost surely, 210210220020 is an apocalyptic number.

10210220020 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 10210220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14465138688).

10210220020 is an abundant number, since it is smaller than the sum of its proper divisors (18720057356).

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

10210220020 is a wasteful number, since it uses less digits than its factorization.

10210220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2548 counting only the distinct ones).

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

Adding to 10210220020 its reverse (2002201201), we get a palindrome (12212421221).

The spelling of 10210220020 in words is "ten billion, two hundred ten million, two hundred twenty thousand, twenty".