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220022120201220 = 22345135816123581
BaseRepresentation
bin110010000001101111100100…
…010100010011110000000100
31001212000220112212011012210000
4302001233210110103300010
5212314320300232414340
62055540433332201300
764226034151055121
oct6201574424236004
91055026485135700
10220022120201220
1164118947985a17
1220815916a69230
13959ccc628c27c
143c491ad991748
151a68430d98d30
hexc81be4513c04

220022120201220 has 60 divisors (see below), whose sum is σ = 690217540043724. Its totient is φ = 58672565386560.

The previous prime is 220022120201207. The next prime is 220022120201227. The reversal of 220022120201220 is 22102021220022.

220022120201220 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 221 + 20 + 201 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89781802806276 + 130240317394944 = 9475326^2 + 11412288^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 220022120201193 and 220022120201202.

It is not an unprimeable number, because it can be changed into a prime (220022120201227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67908060171 + ... + 67908063410.

Almost surely, 2220022120201220 is an apocalyptic number.

220022120201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022120201220 is an abundant number, since it is smaller than the sum of its proper divisors (470195419842504).

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

220022120201220 is a wasteful number, since it uses less digits than its factorization.

220022120201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135816123602 (or 135816123591 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220022120201220 its reverse (22102021220022), we get a palindrome (242124141421242).

The spelling of 220022120201220 in words is "two hundred twenty trillion, twenty-two billion, one hundred twenty million, two hundred one thousand, two hundred 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 135816123581 271632247162 407448370743 543264494324 679080617905 814896741486 1222345112229 1358161235810 1629793482972 2037241853715 2444690224458 2716322471620 3667035336687 4074483707430 4889380448916 6111725561145 7334070673374 8148967414860 11001106010061 12223451122290 14668141346748 18335176683435 22002212020122 24446902244580 36670353366870 44004424040244 55005530050305 73340706733740 110011060100610 220022120201220