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122003000020 = 225111734794009
BaseRepresentation
bin111000110011111110…
…0100000101011010100
3102122220121011112222101
41301213330200223110
53444330232000040
6132014123411444
711546230250416
oct1614774405324
9378817145871
10122003000020
1147817570740
121b78a683b84
13b674172095
145c953829b6
153290c5c09a
hex1c67f20ad4

122003000020 has 96 divisors (see below), whose sum is σ = 296794834560. Its totient is φ = 41634263040.

The previous prime is 122002999991. The next prime is 122003000027. The reversal of 122003000020 is 20000300221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122002999970 and 122003000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003000027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1250776 + ... + 1344784.

It is an arithmetic number, because the mean of its divisors is an integer number (3091612860).

Almost surely, 2122003000020 is an apocalyptic number.

122003000020 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 122003000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148397417280).

122003000020 is an abundant number, since it is smaller than the sum of its proper divisors (174791834540).

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

122003000020 is a wasteful number, since it uses less digits than its factorization.

122003000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94393 (or 94391 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 122003000020 its reverse (20000300221), we get a palindrome (142003300241).

The spelling of 122003000020 in words is "one hundred twenty-two billion, three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 347 374 694 748 935 1388 1735 1870 3470 3740 3817 5899 6940 7634 11798 15268 19085 23596 29495 38170 58990 64889 76340 94009 117980 129778 188018 259556 324445 376036 470045 648890 940090 1034099 1297780 1598153 1880180 2068198 3196306 4136396 5170495 6392612 7990765 10340990 15981530 17579683 20681980 31963060 32621123 35159366 65242246 70318732 87898415 130484492 163105615 175796830 326211230 351593660 358832353 554559091 652422460 717664706 1109118182 1435329412 1794161765 2218236364 2772795455 3588323530 5545590910 6100150001 7176647060 11091181820 12200300002 24400600004 30500750005 61001500010 122003000020