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200212110000020 = 225471973530320357
BaseRepresentation
bin101101100001011110000011…
…101100100011111110010100
3222020220002110012000111002002
4231201132003230203332110
5202220233400130000040
61545452101254534432
760112563504500156
oct5541360354437624
9866802405014062
10200212110000020
115888052a637828
121a556546667418
138793bc8477c31
143762464198ad6
151822e9a761a15
hexb61783b23f94

200212110000020 has 96 divisors (see below), whose sum is σ = 429710832165888. Its totient is φ = 78322563748352.

The previous prime is 200212110000013. The next prime is 200212110000029. The reversal of 200212110000020 is 20000011212002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200212109999956 and 200212110000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212110000029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9835039682 + ... + 9835060038.

It is an arithmetic number, because the mean of its divisors is an integer number (4476154501728).

Almost surely, 2200212110000020 is an apocalyptic number.

200212110000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212110000020 is an abundant number, since it is smaller than the sum of its proper divisors (229498722165868).

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

200212110000020 is a wasteful number, since it uses less digits than its factorization.

200212110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27689 (or 27687 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200212110000020 its reverse (20000011212002), we get a palindrome (220212121212022).

The spelling of 200212110000020 in words is "two hundred trillion, two hundred twelve billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 1973 3946 5303 7892 9865 10606 19730 20357 21212 26515 39460 40714 53030 81428 92731 101785 106060 185462 203570 249241 370924 407140 463655 498482 927310 956779 996964 1246205 1854620 1913558 2492410 3827116 4783895 4984820 9567790 10462819 19135580 20925638 40164361 41851276 52314095 80328722 104628190 107953171 160657444 200821805 209256380 215906342 401643610 431812684 491752493 539765855 803287220 983504986 1079531710 1887724967 1967009972 2159063420 2458762465 3775449934 4917524930 5073799037 7550899868 9438624835 9835049860 10147598074 18877249670 20295196148 25368995185 37754499340 50737990370 101475980740 212991606383 425983212766 851966425532 1064958031915 2129916063830 4259832127660 10010605500001 20021211000002 40042422000004 50053027500005 100106055000010 200212110000020