Search a number
-
+
212101022212020 = 22345404932335529
BaseRepresentation
bin110000001110011110011110…
…000101011101111110110100
31000210222122210220211020220000
4300032132132011131332310
5210300030343141241040
62031033510420111300
762450536025060514
oct6016363605357664
91023878726736800
10212101022212020
11616445a1638277
121b956723235530
13914706b1a4586
143a53a5c313844
15197c37ad17130
hexc0e79e15dfb4

212101022212020 has 120 divisors (see below), whose sum is σ = 665533112013000. Its totient is φ = 56546301892608.

The previous prime is 212101022212019. The next prime is 212101022212063. The reversal of 212101022212020 is 20212220101212.

It is a happy number.

212101022212020 is a `hidden beast` number, since 21 + 210 + 10 + 2 + 221 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37747114001424 + 174353908210596 = 6143868^2 + 13204314^2 .

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 = 212101022211984 and 212101022212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9608385 + ... + 22727144.

It is an arithmetic number, because the mean of its divisors is an integer number (5546109266775).

Almost surely, 2212101022212020 is an apocalyptic number.

212101022212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101022212020 is an abundant number, since it is smaller than the sum of its proper divisors (453432089800980).

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

212101022212020 is a wasteful number, since it uses less digits than its factorization.

212101022212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32339599 (or 32339588 counting only the distinct ones).

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

Adding to 212101022212020 its reverse (20212220101212), we get a palindrome (232313242313232).

The spelling of 212101022212020 in words is "two hundred twelve trillion, one hundred one billion, twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4049 8098 12147 16196 20245 24294 36441 40490 48588 60735 72882 80980 109323 121470 145764 182205 218646 242940 327969 364410 437292 546615 655938 728820 1093230 1311876 1639845 2186460 3279690 6559380 32335529 64671058 97006587 129342116 161677645 194013174 291019761 323355290 388026348 485032935 582039522 646710580 873059283 970065870 1164079044 1455098805 1746118566 1940131740 2619177849 2910197610 3492237132 4365296415 5238355698 5820395220 8730592830 10476711396 13095889245 17461185660 26191778490 52383556980 130926556921 261853113842 392779670763 523706227684 654632784605 785559341526 1178339012289 1309265569210 1571118683052 1963898353815 2356678024578 2618531138420 3535017036867 3927796707630 4713356049156 5891695061445 7070034073734 7855593415260 10605051110601 11783390122890 14140068147468 17675085184335 21210102221202 23566780245780 35350170368670 42420204442404 53025255553005 70700340737340 106050511106010 212101022212020