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20021010122100 = 223521320392517701
BaseRepresentation
bin1001000110101100000010…
…01100100100010101110100
32121212222201121201021221010
410203112001030210111310
510111011012042401400
6110325305225552220
74134320203065111
oct443260114442564
977788647637833
1020021010122100
1164199542a3809
1222b4257945670
13b22c86030b50
144d3044767908
1524abd4632450
hex123581324574

20021010122100 has 144 divisors (see below), whose sum is σ = 62414033996160. Its totient is φ = 4925829696000.

The previous prime is 20021010122083. The next prime is 20021010122129. The reversal of 20021010122100 is 122101012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6693250 + ... + 9210950.

It is an arithmetic number, because the mean of its divisors is an integer number (433430791640).

Almost surely, 220021010122100 is an apocalyptic number.

20021010122100 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 20021010122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207016998080).

20021010122100 is an abundant number, since it is smaller than the sum of its proper divisors (42393023874060).

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

20021010122100 is a wasteful number, since it uses less digits than its factorization.

20021010122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519770 (or 2519763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021010122100 its reverse (122101012002), we get a palindrome (20143111134102).

The spelling of 20021010122100 in words is "twenty trillion, twenty-one billion, ten million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2039 3900 4078 6117 8156 10195 12234 20390 24468 26507 30585 40780 50975 53014 61170 79521 101950 106028 122340 132535 152925 159042 203900 265070 305850 318084 397605 530140 611700 662675 795210 1325350 1590420 1988025 2517701 2650700 3976050 5035402 7553103 7952100 10070804 12588505 15106206 25177010 30212412 32730113 37765515 50354020 62942525 65460226 75531030 98190339 125885050 130920452 151062060 163650565 188827575 196380678 251770100 327301130 377655150 392761356 490951695 654602260 755310300 818252825 981903390 1636505650 1963806780 2454758475 3273011300 4909516950 5133592339 9819033900 10267184678 15400777017 20534369356 25667961695 30801554034 51335923390 61603108068 66736700407 77003885085 102671846780 128339808475 133473400814 154007770170 200210101221 256679616950 266946801628 308015540340 333683502035 385019425425 400420202442 513359233900 667367004070 770038850850 800840404884 1001050506105 1334734008140 1540077701700 1668417510175 2002101012210 3336835020350 4004202024420 5005252530525 6673670040700 10010505061050 20021010122100