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212110320020 = 225431021241567
BaseRepresentation
bin1100010110001011000…
…0101010000110010100
3202021111022222200110112
43011202300222012110
511433400220220040
6241235300142152
721216201654314
oct3054260520624
9667438880415
10212110320020
1181a56822945
1235137397958
131700429b901
14a3a2619444
1557b6737365
hex3162c2a194

212110320020 has 48 divisors (see below), whose sum is σ = 456238852608. Its totient is φ = 82789499520.

The previous prime is 212110319963. The next prime is 212110320049. The reversal of 212110320020 is 20023011212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212110319977 and 212110320004.

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, 757277 + ... + 998843.

It is an arithmetic number, because the mean of its divisors is an integer number (9504976096).

Almost surely, 2212110320020 is an apocalyptic number.

212110320020 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 212110320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228119426304).

212110320020 is an abundant number, since it is smaller than the sum of its proper divisors (244128532588).

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

212110320020 is a wasteful number, since it uses less digits than its factorization.

212110320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242640 (or 242638 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212110320020 its reverse (20023011212), we get a palindrome (232133331232).

The spelling of 212110320020 in words is "two hundred twelve billion, one hundred ten million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1021 2042 4084 5105 10210 20420 43903 87806 175612 219515 241567 439030 483134 878060 966268 1207835 2415670 4831340 10387381 20774762 41549524 51936905 103873810 207747620 246639907 493279814 986559628 1233199535 2466399070 4932798140 10605516001 21211032002 42422064004 53027580005 106055160010 212110320020