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11222021012020 = 22572131751814669
BaseRepresentation
bin1010001101001101010010…
…0100110111101000110100
31110201210222221100200100121
42203103110210313220310
52432330144334341040
635511154132221324
72235523066511500
oct243232444675064
943653887320317
1011222021012020
1136372613383a5
121312aa016a844
13635302a41150
142ab212107300
15146d9d00cc4a
hexa34d4937a34

11222021012020 has 144 divisors (see below), whose sum is σ = 31259168634960. Its totient is φ = 3342667862016.

The previous prime is 11222021012011. The next prime is 11222021012023. The reversal of 11222021012020 is 2021012022211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 381978385936 + 10840042626084 = 618044^2 + 3292422^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11222021011985 and 11222021012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222021012023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25690755 + ... + 26123914.

It is an arithmetic number, because the mean of its divisors is an integer number (217077559965).

Almost surely, 211222021012020 is an apocalyptic number.

11222021012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222021012020 is an abundant number, since it is smaller than the sum of its proper divisors (20037147622940).

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

11222021012020 is a wasteful number, since it uses less digits than its factorization.

11222021012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51814722 (or 51814713 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11222021012020 its reverse (2021012022211), we get a palindrome (13243033034231).

The spelling of 11222021012020 in words is "eleven trillion, two hundred twenty-two billion, twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 49 52 65 68 70 85 91 98 119 130 140 170 182 196 221 238 245 260 340 364 442 455 476 490 595 637 833 884 910 980 1105 1190 1274 1547 1666 1820 2210 2380 2548 3094 3185 3332 4165 4420 6188 6370 7735 8330 10829 12740 15470 16660 21658 30940 43316 54145 108290 216580 51814669 103629338 207258676 259073345 362702683 518146690 673590697 725405366 880849373 1036293380 1347181394 1450810732 1761698746 1813513415 2538918781 2694362788 3367953485 3523397492 3627026830 4404246865 4715134879 5077837562 6165945611 6735906970 7254053660 8808493730 9430269758 10155675124 11451041849 12331891222 12694593905 13471813940 17616987460 18860539516 22902083698 23575674395 24663782444 25389187810 30829728055 33005944153 43161619277 45804167396 47151348790 50778375620 57255209245 61659456110 66011888306 80157292943 86323238554 94302697580 114510418490 123318912220 132023776612 160314585886 165029720765 172646477108 215808096385 229020836980 320629171772 330059441530 400786464715 431616192770 561101050601 660118883060 801572929430 863232385540 1122202101202 1603145858860 2244404202404 2805505253005 5611010506010 11222021012020