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220220010211212 = 2232113492308769019
BaseRepresentation
bin110010000100100111110111…
…011110110010011110001100
31001212201211100011010022010100
4302010213313132302132030
5212331041040103224322
62100211402010011100
764246241101306554
oct6204476736623614
91055654304108110
10220220010211212
1164194866705420
1220848143a16a90
1395b587240343b
143c549c3746164
151a6d663e80dac
hexc849f77b278c

220220010211212 has 144 divisors (see below), whose sum is σ = 609048603072000. Its totient is φ = 66538277124480.

The previous prime is 220220010211183. The next prime is 220220010211217. The reversal of 220220010211212 is 212112010022022.

It is a happy number.

220220010211212 is a `hidden beast` number, since 2 + 20 + 220 + 0 + 1 + 0 + 211 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (220220010211217) 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, 3190681239 + ... + 3190750257.

It is an arithmetic number, because the mean of its divisors is an integer number (4229504188000).

Almost surely, 2220220010211212 is an apocalyptic number.

220220010211212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220010211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304524301536000).

220220010211212 is an abundant number, since it is smaller than the sum of its proper divisors (388828592860788).

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

220220010211212 is a wasteful number, since it uses less digits than its factorization.

220220010211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92476 (or 92471 counting only the distinct ones).

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

Adding to 220220010211212 its reverse (212112010022022), we get a palindrome (432332020233234).

The spelling of 220220010211212 in words is "two hundred twenty trillion, two hundred twenty billion, ten million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 349 396 698 1047 1396 2094 3141 3839 4188 6282 7678 11517 12564 15356 23034 23087 34551 46068 46174 69019 69102 69261 92348 138038 138204 138522 207057 207783 253957 276076 277044 414114 415566 507914 621171 759209 761871 828228 831132 1015828 1242342 1518418 1523742 2277627 2285613 2484684 3036836 3047484 4555254 4571226 6832881 8057363 9110508 9142452 13665762 16114726 24087631 24172089 27331524 32229452 48175262 48344178 72262893 72516267 88630993 96350524 96688356 144525786 145032534 177261986 216788679 264963941 265892979 289051572 290065068 354523972 433577358 529927882 531785958 794891823 797678937 867154716 1059855764 1063571916 1589783646 1593441653 1595357874 2384675469 3179567292 3186883306 3190715748 4769350938 4780324959 6373766612 9538701876 9560649918 14340974877 17527858183 19121299836 28681949754 35055716366 52583574549 57363899508 70111432732 105167149098 157750723647 210334298196 315501447294 556111136897 631002894588 1112222273794 1668333410691 2224444547588 3336666821382 5005000232073 6117222505867 6673333642764 10010000464146 12234445011734 18351667517601 20020000928292 24468890023468 36703335035202 55055002552803 73406670070404 110110005105606 220220010211212