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21201222211100 = 22521789140127047
BaseRepresentation
bin1001101001000010010110…
…10100011001011000011100
32210001211001121222101001222
410310201023110121120130
510234330100341223400
6113031412414552512
74315511023241411
oct464411324313034
983054047871058
1021201222211100
11683442a250448
122464b32508738
13baa360b6b879
14534204c18108
1526b75bee8185
hex13484b51961c

21201222211100 has 72 divisors (see below), whose sum is σ = 49260262453920. Its totient is φ = 7891955230720.

The previous prime is 21201222211097. The next prime is 21201222211121. The reversal of 21201222211100 is 111222210212.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69912224 + ... + 70214823.

It is an arithmetic number, because the mean of its divisors is an integer number (684170311860).

Almost surely, 221201222211100 is an apocalyptic number.

21201222211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201222211100 is an abundant number, since it is smaller than the sum of its proper divisors (28059040242820).

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

21201222211100 is a wasteful number, since it uses less digits than its factorization.

21201222211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140127167 (or 140127160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21201222211100 its reverse (111222210212), we get a palindrome (21312444421312).

The spelling of 21201222211100 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 89 100 170 178 340 356 425 445 850 890 1513 1700 1780 2225 3026 4450 6052 7565 8900 15130 30260 37825 75650 151300 140127047 280254094 560508188 700635235 1401270470 2382159799 2802540940 3503176175 4764319598 7006352350 9528639196 11910798995 12471307183 14012704700 23821597990 24942614366 47643195980 49885228732 59553994975 62356535915 119107989950 124713071830 212012222111 238215979900 249426143660 311782679575 424024444222 623565359150 848048888444 1060061110555 1247130718300 2120122221110 4240244442220 5300305552775 10600611105550 21201222211100