Search a number
-
+
21120120122220 = 223257101165960397
BaseRepresentation
bin1001100110101011010010…
…10000011110101101101100
32202210001201111002101100100
410303111221100132231230
510232013001222402340
6112530241011431100
74306610156663610
oct463255120365554
982701644071310
1021120120122220
116802aa1232709
1224512795b5490
13ba2807604372
1453030d959340
152695b1dce830
hex13356941eb6c

21120120122220 has 144 divisors (see below), whose sum is σ = 73941331883328. Its totient is φ = 4779659404800.

The previous prime is 21120120122201. The next prime is 21120120122237. The reversal of 21120120122220 is 2222102102112.

It is a happy number.

21120120122220 is a `hidden beast` number, since 21 + 1 + 201 + 201 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21120120122193 and 21120120122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82852939 + ... + 83107458.

It is an arithmetic number, because the mean of its divisors is an integer number (513481471412).

Almost surely, 221120120122220 is an apocalyptic number.

21120120122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120120122220 is an abundant number, since it is smaller than the sum of its proper divisors (52821211761108).

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

21120120122220 is a wasteful number, since it uses less digits than its factorization.

21120120122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165960520 (or 165960515 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21120120122220 its reverse (2222102102112), we get a palindrome (23342222224332).

The spelling of 21120120122220 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 505 606 630 707 909 1010 1212 1260 1414 1515 1818 2020 2121 2828 3030 3535 3636 4242 4545 6060 6363 7070 8484 9090 10605 12726 14140 18180 21210 25452 31815 42420 63630 127260 165960397 331920794 497881191 663841588 829801985 995762382 1161722779 1493643573 1659603970 1991524764 2323445558 2489405955 2987287146 3319207940 3485168337 4646891116 4978811910 5808613895 5974574292 6970336674 7468217865 9957623820 10455505011 11617227790 13940673348 14936435730 16762000097 17425841685 20911010022 23234455580 29872871460 33524000194 34851683370 41822020044 50286000291 52277525055 67048000388 69703366740 83810000485 100572000582 104555050110 117334000679 150858000873 167620000970 201144001164 209110100220 234668001358 251430001455 301716001746 335240001940 352002002037 469336002716 502860002910 586670003395 603432003492 704004004074 754290004365 1005720005820 1056006006111 1173340006790 1408008008148 1508580008730 1760010010185 2112012012222 2346680013580 3017160017460 3520020020370 4224024024444 5280030030555 7040040040740 10560060061110 21120120122220