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221102112022120 = 23571460095408231
BaseRepresentation
bin110010010001011101011000…
…110110001001111001101000
31001222212011012100022011122101
4302101131120312021321220
5212440014111134201440
62102124524045103144
764400046311062030
oct6221353066117150
91058764170264571
10221102112022120
11644a49741308aa
122096b0a1b57ab4
13964aabba87ac4
143c85583a448c0
151a8659001569a
hexc91758d89e68

221102112022120 has 64 divisors (see below), whose sum is σ = 568552287110400. Its totient is φ = 75805905200640.

The previous prime is 221102112022109. The next prime is 221102112022157. The reversal of 221102112022120 is 21220211201122.

It is a super-2 number, since 2×2211021120221202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38178405 + ... + 43586635.

It is an arithmetic number, because the mean of its divisors is an integer number (8883629486100).

Almost surely, 2221102112022120 is an apocalyptic number.

221102112022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102112022120 is an abundant number, since it is smaller than the sum of its proper divisors (347450175088280).

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

221102112022120 is a wasteful number, since it uses less digits than its factorization.

221102112022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554258 (or 5554254 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221102112022120 its reverse (21220211201122), we get a palindrome (242322323223242).

The spelling of 221102112022120 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 146009 292018 584036 730045 1022063 1168072 1460090 2044126 2920180 4088252 5110315 5408231 5840360 8176504 10220630 10816462 20441260 21632924 27041155 37857617 40882520 43265848 54082310 75715234 108164620 151430468 189288085 216329240 302860936 378576170 757152340 1514304680 789650400079 1579300800158 3158601600316 3948252000395 5527552800553 6317203200632 7896504000790 11055105601106 15793008001580 22110211202212 27637764002765 31586016003160 44220422404424 55275528005530 110551056011060 221102112022120