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221120222221100 = 225210515147408763
BaseRepresentation
bin110010010001101110010000…
…010011000101001100101100
31001222220212221110211121020202
4302101232100103011030230
5212440313203342033400
62102141121105333032
764401260145164666
oct6221562023051454
91058825843747222
10221120222221100
11645016179403a4
12209726b7037178
13964c716a90187
143c863c0d59536
151a86c9edda4d5
hexc91b904c532c

221120222221100 has 72 divisors (see below), whose sum is σ = 480381918464448. Its totient is φ = 88346548584000.

The previous prime is 221120222221057. The next prime is 221120222221127. The reversal of 221120222221100 is 1122222021122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540745319 + ... + 541154081.

It is an arithmetic number, because the mean of its divisors is an integer number (6671971089784).

Almost surely, 2221120222221100 is an apocalyptic number.

221120222221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120222221100 is an abundant number, since it is smaller than the sum of its proper divisors (259261696243348).

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

221120222221100 is a wasteful number, since it uses less digits than its factorization.

221120222221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414975 (or 414968 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221120222221100 its reverse (1122222021122), we get a palindrome (222242444242222).

The spelling of 221120222221100 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1051 2102 4204 5147 5255 10294 10510 20588 21020 25735 26275 51470 52550 102940 105100 128675 257350 408763 514700 817526 1635052 2043815 4087630 5409497 8175260 10219075 10818994 20438150 21637988 27047485 40876300 54094970 108189940 135237425 270474850 429609913 540949700 859219826 1718439652 2103903161 2148049565 4207806322 4296099130 8415612644 8592198260 10519515805 10740247825 21039031610 21480495650 42078063220 42960991300 52597579025 105195158050 210390316100 2211202222211 4422404444422 8844808888844 11056011111055 22112022222110 44224044444220 55280055555275 110560111110550 221120222221100