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221210130100 = 225223360115797
BaseRepresentation
bin1100111000000100100…
…1101011011010110100
3210010222111212221011111
43032001021223122310
512111014243130400
6245342244444404
721660536040001
oct3160111533264
9703874787144
10221210130100
11858a6395943
1236a569a9704
1317b2462710b
14a9c6db28a8
155b4a57c3ba
hex338126b6b4

221210130100 has 72 divisors (see below), whose sum is σ = 482918888088. Its totient is φ = 87952128000.

The previous prime is 221210130083. The next prime is 221210130121. The reversal of 221210130100 is 1031012122.

It can be written as a sum of positive squares in 12 ways, for example, as 31582976656 + 189627153444 = 177716^2 + 435462^2 .

It is a congruent number.

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, 13995402 + ... + 14011198.

It is an arithmetic number, because the mean of its divisors is an integer number (6707206779).

Almost surely, 2221210130100 is an apocalyptic number.

221210130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210130100 is an abundant number, since it is smaller than the sum of its proper divisors (261708757988).

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

221210130100 is a wasteful number, since it uses less digits than its factorization.

221210130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16645 (or 16638 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 221210130100 its reverse (1031012122), we get a palindrome (222241142222).

The spelling of 221210130100 in words is "two hundred twenty-one billion, two hundred ten million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 601 932 1165 1202 2330 2404 3005 4660 5825 6010 11650 12020 15025 15797 23300 30050 31594 60100 63188 78985 140033 157970 280066 315940 394925 560132 700165 789850 1400330 1579700 2800660 3500825 3680701 7001650 7361402 9493997 14003300 14722804 18403505 18987994 36807010 37975988 47469985 73614020 92017525 94939970 184035050 189879940 237349925 368070100 474699850 949399700 2212101301 4424202602 8848405204 11060506505 22121013010 44242026020 55302532525 110605065050 221210130100