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210342000020 = 225192103282847
BaseRepresentation
bin1100001111100101011…
…1000011010110010100
3202002221002120201110012
43003321113003112110
511421240023000040
6240344011015352
721124320333365
oct3037127032624
9662832521405
10210342000020
1181229636959
123492313a558
1316ab1b21409
14a27582bb6c
15571138a865
hex30f95c3594

210342000020 has 72 divisors (see below), whose sum is σ = 470717904384. Its totient is φ = 78934398912.

The previous prime is 210342000013. The next prime is 210342000107. The reversal of 210342000020 is 20000243012.

210342000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210341999959 and 210342000004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602237 + ... + 885083.

It is an arithmetic number, because the mean of its divisors is an integer number (6537748672).

Almost surely, 2210342000020 is an apocalyptic number.

210342000020 is a gapful number since it is divisible by the number (20) 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 210342000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235358952192).

210342000020 is an abundant number, since it is smaller than the sum of its proper divisors (260375904364).

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

210342000020 is a wasteful number, since it uses less digits than its factorization.

210342000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282997 (or 282976 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 210342000020 its reverse (20000243012), we get a palindrome (230342243032).

The spelling of 210342000020 in words is "two hundred ten billion, three hundred forty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 361 380 412 515 722 1030 1444 1805 1957 2060 3610 3914 7220 7828 9785 19570 37183 39140 74366 148732 185915 282847 371830 565694 743660 1131388 1414235 2828470 5374093 5656940 10748186 21496372 26870465 29133241 53740930 58266482 102107767 107481860 116532964 145666205 204215534 291332410 408431068 510538835 553531579 582664820 1021077670 1107063158 2042155340 2214126316 2767657895 5535315790 10517100001 11070631580 21034200002 42068400004 52585500005 105171000010 210342000020