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21012212020100 = 2252741929788087
BaseRepresentation
bin1001100011100010010010…
…11011101111001110000100
32202101202012011221211101112
410301301021123233032010
510223231002234120400
6112404513230344152
74266040126154030
oct461611133571604
982352164854345
1021012212020100
116771257997424
12243438335b058
13b9559b619572
14528dd45131c0
1526689879d835
hex131c496ef384

21012212020100 has 144 divisors (see below), whose sum is σ = 53438797198080. Its totient is φ = 7020900556800.

The previous prime is 21012212020061. The next prime is 21012212020147. The reversal of 21012212020100 is 102021221012.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 26268257 + ... + 27056343.

It is an arithmetic number, because the mean of its divisors is an integer number (371102758320).

Almost surely, 221012212020100 is an apocalyptic number.

21012212020100 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 21012212020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26719398599040).

21012212020100 is an abundant number, since it is smaller than the sum of its proper divisors (32426585177980).

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

21012212020100 is a wasteful number, since it uses less digits than its factorization.

21012212020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789078 (or 789071 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21012212020100 its reverse (102021221012), we get a palindrome (21114233241112).

The spelling of 21012212020100 in words is "twenty-one trillion, twelve billion, two hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 929 1025 1148 1435 1858 2050 2870 3716 4100 4645 5740 6503 7175 9290 13006 14350 18580 23225 26012 28700 32515 38089 46450 65030 76178 92900 130060 152356 162575 190445 266623 325150 380890 533246 650300 761780 788087 952225 1066492 1333115 1576174 1904450 2666230 3152348 3808900 3940435 5332460 5516609 6665575 7880870 11033218 13331150 15761740 19702175 22066436 26662300 27583045 32311567 39404350 55166090 64623134 78808700 110332180 129246268 137915225 161557835 226180969 275830450 323115670 452361938 551660900 646231340 732132823 807789175 904723876 1130904845 1464265646 1615578350 2261809690 2928531292 3231156700 3660664115 4523619380 5124929761 5654524225 7321328230 10249859522 11309048450 14642656460 18303320575 20499719044 22618096900 25624648805 30017445743 36606641150 51249297610 60034891486 73213282300 102498595220 120069782972 128123244025 150087228715 210122120201 256246488050 300174457430 420244240402 512492976100 600348914860 750436143575 840488480804 1050610601005 1500872287150 2101221202010 3001744574300 4202442404020 5253053005025 10506106010050 21012212020100