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1010200210020 = 2232543577226199
BaseRepresentation
bin11101011001101001001…
…11111110101001100100
310120120111120220210010100
432230310213332221210
5113022342223210040
62052025104224100
7132661463051451
oct16546447765144
93516446823110
101010200210020
1135a472756731
1214394a00b030
13743525b4a81
1436c73004828
151b426ec0b30
hexeb349fea64

1010200210020 has 144 divisors (see below), whose sum is σ = 3140984246400. Its totient is φ = 262664736768.

The previous prime is 1010200210009. The next prime is 1010200210037. The reversal of 1010200210020 is 200120020101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010200209984 and 1010200210011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4352881 + ... + 4579079.

It is an arithmetic number, because the mean of its divisors is an integer number (21812390600).

Almost surely, 21010200210020 is an apocalyptic number.

1010200210020 is a gapful number since it is divisible by the number (10) 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 1010200210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570492123200).

1010200210020 is an abundant number, since it is smaller than the sum of its proper divisors (2130784036380).

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

1010200210020 is a wasteful number, since it uses less digits than its factorization.

1010200210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226834 (or 226829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010200210020 its reverse (200120020101), we get a palindrome (1210320230121).

The spelling of 1010200210020 in words is "one trillion, ten billion, two hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 577 645 774 860 1154 1290 1548 1731 1935 2308 2580 2885 3462 3870 5193 5770 6924 7740 8655 10386 11540 17310 20772 24811 25965 34620 49622 51930 74433 99244 103860 124055 148866 223299 226199 248110 297732 372165 446598 452398 496220 678597 744330 893196 904796 1116495 1130995 1357194 1488660 2035791 2232990 2261990 2714388 3392985 4071582 4465980 4523980 6785970 8143164 9726557 10178955 13571940 19453114 20357910 29179671 38906228 40715820 48632785 58359342 87539013 97265570 116718684 130516823 145898355 175078026 194531140 261033646 291796710 350156052 391550469 437695065 522067292 583593420 652584115 783100938 875390130 1174651407 1305168230 1566201876 1750780260 1957752345 2349302814 2610336460 3915504690 4698605628 5612223389 5873257035 7831009380 11224446778 11746514070 16836670167 22448893556 23493028140 28061116945 33673340334 50510010501 56122233890 67346680668 84183350835 101020021002 112244467780 168366701670 202040042004 252550052505 336733403340 505100105010 1010200210020