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222112021002120 = 233253929157031773
BaseRepresentation
bin110010100000001001111100…
…000111001011011110001000
31002010102200221122012221021200
4302200021330013023132020
5213103040404334031440
62104220504231304200
764533030636551424
oct6240117407133610
91063380848187250
10222112021002120
11648541a7453067
1220ab296a51b060
1396c20c5c22802
143cbc3ca0b9b84
151aa299b65ac30
hexca027c1cb788

222112021002120 has 96 divisors (see below), whose sum is σ = 722047800029400. Its totient is φ = 59214796839936.

The previous prime is 222112021002037. The next prime is 222112021002121. The reversal of 222112021002120 is 21200120211222.

It is a happy number.

222112021002120 is a `hidden beast` number, since 2 + 221 + 1 + 20 + 210 + 0 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105232267525284 + 116879753476836 = 10258278^2 + 10811094^2 .

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 = 222112021002093 and 222112021002102.

It is not an unprimeable number, because it can be changed into a prime (222112021002121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77101447 + ... + 79930326.

Almost surely, 2222112021002120 is an apocalyptic number.

222112021002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112021002120 is an abundant number, since it is smaller than the sum of its proper divisors (499935779027280).

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

222112021002120 is a wasteful number, since it uses less digits than its factorization.

222112021002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157035719 (or 157035712 counting only the distinct ones).

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

Adding to 222112021002120 its reverse (21200120211222), we get a palindrome (243312141213342).

The spelling of 222112021002120 in words is "two hundred twenty-two trillion, one hundred twelve billion, twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3929 7858 11787 15716 19645 23574 31432 35361 39290 47148 58935 70722 78580 94296 117870 141444 157160 176805 235740 282888 353610 471480 707220 1414440 157031773 314063546 471095319 628127092 785158865 942190638 1256254184 1413285957 1570317730 1884381276 2355476595 2826571914 3140635460 3768762552 4710953190 5653143828 6281270920 7066429785 9421906380 11306287656 14132859570 18843812760 28265719140 56531438280 616977836117 1233955672234 1850933508351 2467911344468 3084889180585 3701867016702 4935822688936 5552800525053 6169778361170 7403734033404 9254667541755 11105601050106 12339556722340 14807468066808 18509335083510 22211202100212 24679113444680 27764002625265 37018670167020 44422404200424 55528005250530 74037340334040 111056010501060 222112021002120