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21201022222100 = 2252727954768851
BaseRepresentation
bin1001101001000001111110…
…11001011111111100010100
32210001210112200122212201222
410310200333121133330110
510234324143142101400
6113031340512305512
74315503044331200
oct464407731377424
983053480585658
1021201022222100
116834337375786
122464a97542298
13baa32b5b9596
145341c6439b00
1526b749692185
hex13483f65ff14

21201022222100 has 108 divisors (see below), whose sum is σ = 54194874431040. Its totient is φ = 7176910104000.

The previous prime is 21201022222099. The next prime is 21201022222109. The reversal of 21201022222100 is 122222010212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201022222109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26997326 + ... + 27771525.

It is an arithmetic number, because the mean of its divisors is an integer number (501804392880).

Almost surely, 221201022222100 is an apocalyptic number.

21201022222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201022222100 is an abundant number, since it is smaller than the sum of its proper divisors (32993852208940).

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

21201022222100 is a wasteful number, since it uses less digits than its factorization.

21201022222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54768958 (or 54768944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21201022222100 its reverse (122222010212), we get a palindrome (21323244232312).

The spelling of 21201022222100 in words is "twenty-one trillion, two hundred one billion, twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 79 98 100 140 158 175 196 245 316 350 395 490 553 700 790 980 1106 1225 1580 1975 2212 2450 2765 3871 3950 4900 5530 7742 7900 11060 13825 15484 19355 27650 38710 55300 77420 96775 193550 387100 54768851 109537702 219075404 273844255 383381957 547688510 766763914 1095377020 1369221275 1533527828 1916909785 2683673699 2738442550 3833819570 4326739229 5367347398 5476885100 7667639140 8653478458 9584548925 10734694796 13418368495 17306956916 19169097850 21633696145 26836736990 30287174603 38338195700 43267392290 53673473980 60574349206 67091842475 86534784580 108168480725 121148698412 134183684950 151435873015 212010222221 216336961450 268367369900 302871746030 424020444442 432673922900 605743492060 757179365075 848040888884 1060051111105 1514358730150 2120102222210 3028717460300 4240204444420 5300255555525 10600511111050 21201022222100