Search a number
-
+
21202022102100 = 22352729327344263
BaseRepresentation
bin1001101001000011110101…
…11111101111010001010100
32210001220010101010001020120
410310201322333233101110
510234333220124231400
6113032024031231540
74315536605222220
oct464417277572124
983056111101216
1021202022102100
1168347aa817394
1224651163785b0
13baa45a7b3c58
1453427d155780
1526b7a734cca0
hex13487afef454

21202022102100 has 144 divisors (see below), whose sum is σ = 70110613966848. Its totient is φ = 4845997157760.

The previous prime is 21202022102099. The next prime is 21202022102117. The reversal of 21202022102100 is 120122020212.

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 21202022102100.

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, 61414569 + ... + 61758831.

Almost surely, 221202022102100 is an apocalyptic number.

21202022102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202022102100 is an abundant number, since it is smaller than the sum of its proper divisors (48908591864748).

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

21202022102100 is a wasteful number, since it uses less digits than its factorization.

21202022102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373614 (or 373607 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21202022102100 its reverse (120122020212), we get a palindrome (21322144122312).

The spelling of 21202022102100 in words is "twenty-one trillion, two hundred two billion, twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 29327 58654 87981 117308 146635 175962 205289 293270 344263 351924 410578 439905 586540 615867 688526 733175 821156 879810 1026445 1032789 1231734 1377052 1466350 1721315 1759620 2052890 2065578 2199525 2409841 2463468 2932700 3079335 3442630 4105780 4131156 4399050 4819682 5132225 5163945 6158670 6885260 7229523 8606575 8798100 9639364 10264450 10327890 12049205 12317340 14459046 15396675 17213150 20528900 20655780 24098410 25819725 28918092 30793350 34426300 36147615 48196820 51639450 60246025 61586700 72295230 103278900 120492050 144590460 180738075 240984100 361476150 722952300 10096201001 20192402002 30288603003 40384804004 50481005005 60577206006 70673407007 100962010010 121154412012 141346814014 151443015015 201924020020 212020221021 252405025025 282693628028 302886030030 353367035035 424040442042 504810050050 605772060060 706734070070 757215075075 848080884084 1009620100100 1060101105105 1413468140140 1514430150150 1766835175175 2120202210210 3028860300300 3533670350350 4240404420420 5300505525525 7067340700700 10601011051050 21202022102100