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222101022112020 = 2232519433149981107
BaseRepresentation
bin110010011111111111101100…
…100001101111100100010100
31002010101122120002212102112200
4302133333230201233210110
5213102400343130041040
62104211445003044500
764532161242540432
oct6237775441574424
91063348502772480
10222101022112020
116484a572903147
1220ab07bab10730
1396c10622c640c
143cbba65417d52
151aa2555c3a630
hexc9ffec86f914

222101022112020 has 144 divisors (see below), whose sum is σ = 710802465522240. Its totient is φ = 55980147852288.

The previous prime is 222101022112019. The next prime is 222101022112027. The reversal of 222101022112020 is 20211220101222.

It is a happy number.

222101022112020 is a `hidden beast` number, since 22 + 210 + 10 + 221 + 1 + 202 + 0 = 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 = 222101022111984 and 222101022112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101022112027) 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, 73509694 + ... + 76471413.

Almost surely, 2222101022112020 is an apocalyptic number.

222101022112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222101022112020 is an abundant number, since it is smaller than the sum of its proper divisors (488701443410220).

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

222101022112020 is a wasteful number, since it uses less digits than its factorization.

222101022112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149981574 (or 149981569 counting only the distinct ones).

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

Adding to 222101022112020 its reverse (20211220101222), we get a palindrome (242312242213242).

The spelling of 222101022112020 in words is "two hundred twenty-two trillion, one hundred one billion, twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 433 570 684 855 866 1140 1299 1710 1732 2165 2598 3420 3897 4330 5196 6495 7794 8227 8660 12990 15588 16454 19485 24681 25980 32908 38970 41135 49362 74043 77940 82270 98724 123405 148086 164540 246810 296172 370215 493620 740430 1480860 149981107 299962214 449943321 599924428 749905535 899886642 1349829963 1499811070 1799773284 2249716605 2699659926 2849641033 2999622140 4499433210 5399319852 5699282066 6749149815 8548923099 8998866420 11398564132 13498299630 14248205165 17097846198 25646769297 26996599260 28496410330 34195692396 42744615495 51293538594 56992820660 64941819331 85489230990 102587077188 128233846485 129883638662 170978461980 194825457993 256467692970 259767277324 324709096655 389650915986 512935385940 584476373979 649418193310 779301831972 974127289965 1168952747958 1233894567289 1298836386620 1948254579930 2337905495916 2467789134578 2922381869895 3701683701867 3896509159860 4935578269156 5844763739790 6169472836445 7403367403734 11105051105601 11689527479580 12338945672890 14806734807468 18508418509335 22210102211202 24677891345780 37016837018670 44420204422404 55525255528005 74033674037340 111050511056010 222101022112020