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10212300020 = 22513255715361
BaseRepresentation
bin10011000001011001…
…10101010011110100
3222100201020121000002
421200230311103310
5131403322100040
64405205010432
7511033055306
oct114054652364
928321217002
1010212300020
11437063917a
121b900b3a18
13c699901a0
146cc427976
153eb846a15
hex260b354f4

10212300020 has 48 divisors (see below), whose sum is σ = 23106045648. Its totient is φ = 3768975360.

The previous prime is 10212300017. The next prime is 10212300031. The reversal of 10212300020 is 2000321201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 265429264 + 9946870756 = 16292^2 + 99734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10212299974 and 10212300010.

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, 657140 + ... + 672500.

It is an arithmetic number, because the mean of its divisors is an integer number (481375951).

Almost surely, 210212300020 is an apocalyptic number.

10212300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212300020 is an abundant number, since it is smaller than the sum of its proper divisors (12893745628).

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

10212300020 is a wasteful number, since it uses less digits than its factorization.

10212300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17940 (or 17938 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10212300020 its reverse (2000321201), we get a palindrome (12212621221).

The spelling of 10212300020 in words is "ten billion, two hundred twelve million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2557 5114 10228 12785 15361 25570 30722 33241 51140 61444 66482 76805 132964 153610 166205 199693 307220 332410 399386 664820 798772 998465 1996930 3993860 39278077 78556154 157112308 196390385 392780770 510615001 785561540 1021230002 2042460004 2553075005 5106150010 10212300020