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21220122101100 = 22352138365554903
BaseRepresentation
bin1001101001100101100011…
…10101110000010101101100
32210010121211210110021002220
410310302301311300111230
510240132302224213400
6113044220045115340
74320050256533466
oct464626165602554
983117753407086
1021220122101100
11684144879a54a
122468727b58b50
13bac083657730
145350b8d73136
1526beb63aa7a0
hex134cb1d7056c

21220122101100 has 144 divisors (see below), whose sum is σ = 66916348246272. Its totient is φ = 5160481885440.

The previous prime is 21220122101099. The next prime is 21220122101173. The reversal of 21220122101100 is 110122102212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21220122101100.

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, 32453752 + ... + 33101151.

Almost surely, 221220122101100 is an apocalyptic number.

21220122101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220122101100 is an abundant number, since it is smaller than the sum of its proper divisors (45696226145172).

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

21220122101100 is a wasteful number, since it uses less digits than its factorization.

21220122101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65555016 (or 65555009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21220122101100 its reverse (110122102212), we get a palindrome (21330244203312).

The spelling of 21220122101100 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred one 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 83 100 130 150 156 166 195 249 260 300 325 332 390 415 498 650 780 830 975 996 1079 1245 1300 1660 1950 2075 2158 2490 3237 3900 4150 4316 4980 5395 6225 6474 8300 10790 12450 12948 16185 21580 24900 26975 32370 53950 64740 80925 107900 161850 323700 65554903 131109806 196664709 262219612 327774515 393329418 655549030 786658836 852213739 983323545 1311098060 1638872575 1704427478 1966647090 2556641217 3277745150 3408854956 3933294180 4261068695 4916617725 5113282434 5441056949 6555490300 8522137390 9833235450 10226564868 10882113898 12783206085 16323170847 17044274780 19666470900 21305343475 21764227796 25566412170 27205284745 32646341694 42610686950 51132824340 54410569490 63916030425 65292683388 70733740337 81615854235 85221373900 108821138980 127832060850 136026423725 141467480674 163231708470 212201221011 255664121700 272052847450 282934961348 326463416940 353668701685 408079271175 424402442022 544105694900 707337403370 816158542350 848804884044 1061006105055 1414674806740 1632317084700 1768343508425 2122012210110 3536687016850 4244024420220 5305030525275 7073374033700 10610061050550 21220122101100