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200022102022120 = 23578311633739861
BaseRepresentation
bin101101011110101101000110…
…010101101001011111101000
3222020012221000012111010002021
4231132231012111221133220
5202204130231104201440
61545224515104314224
760063056103360010
oct5536550625513750
9866187005433067
10200022102022120
1158807996031734
121a525759312974
13877c0072b1b91
14375719b160c40
15181d07962184a
hexb5eb465697e8

200022102022120 has 128 divisors (see below), whose sum is σ = 520584896643840. Its totient is φ = 67746837565440.

The previous prime is 200022102022091. The next prime is 200022102022201. The reversal of 200022102022120 is 21220201220002.

It is a junction number, because it is equal to n+sod(n) for n = 200022102022094 and 200022102022103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269980990 + ... + 270720850.

It is an arithmetic number, because the mean of its divisors is an integer number (4067069505030).

Almost surely, 2200022102022120 is an apocalyptic number.

200022102022120 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 200022102022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260292448321920).

200022102022120 is an abundant number, since it is smaller than the sum of its proper divisors (320562794621720).

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

200022102022120 is a wasteful number, since it uses less digits than its factorization.

200022102022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751595 (or 751591 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200022102022120 its reverse (21220201220002), we get a palindrome (221242303242122).

The spelling of 200022102022120 in words is "two hundred trillion, twenty-two billion, one hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 11633 23240 23266 46532 58165 81431 93064 116330 162862 232660 325724 407155 465320 651448 739861 814310 965539 1479722 1628620 1931078 2959444 3257240 3699305 3862156 4827695 5179027 5918888 6758773 7398610 7724312 9655390 10358054 13517546 14797220 19310780 20716108 25895135 27035092 29594440 33793865 38621560 41432216 51790270 54070184 61408463 67587730 103580540 122816926 135175460 207161080 245633852 270350920 307042315 429859241 491267704 614084630 859718482 1228169260 1719436964 2149296205 2456338520 3438873928 4298592410 8597184820 8606803013 17194369640 17213606026 34427212052 43034015065 60247621091 68854424104 86068030130 120495242182 172136060260 240990484364 301238105455 344272120520 481980968728 602476210910 714364650079 1204952421820 1428729300158 2409904843640 2857458600316 3571823250395 5000552550553 5714917200632 7143646500790 10001105101106 14287293001580 20002210202212 25002762752765 28574586003160 40004420404424 50005525505530 100011051011060 200022102022120