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22132101130000 = 24546136282133
BaseRepresentation
bin1010000100001000010000…
…00001101010011100010000
32220100210211011220001202021
411002010020001222130100
510400103020342130000
6115023202532501224
74442664045425521
oct502041001523420
986323734801667
1022132101130000
117063198118024
122595423a7a814
13c47081b14c04
145672b1278848
15285a903b411a
hex14210806a710

22132101130000 has 100 divisors (see below), whose sum is σ = 54462458268988. Its totient is φ = 8707711680000.

The previous prime is 22132101129991. The next prime is 22132101130003. The reversal of 22132101130000 is 3110123122.

It can be written as a sum of positive squares in 10 ways, for example, as 18967174737424 + 3164926392576 = 4355132^2 + 1779024^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22132101130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17531067 + ... + 18751066.

Almost surely, 222132101130000 is an apocalyptic number.

22132101130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132101130000 is an abundant number, since it is smaller than the sum of its proper divisors (32330357138988).

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

22132101130000 is an equidigital number, since it uses as much as digits as its factorization.

22132101130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36282222 (or 36282201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22132101130000 its reverse (3110123122), we get a palindrome (22135211253122).

The spelling of 22132101130000 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 625 976 1000 1220 1250 1525 2000 2440 2500 3050 4880 5000 6100 7625 10000 12200 15250 24400 30500 38125 61000 76250 122000 152500 305000 610000 36282133 72564266 145128532 181410665 290257064 362821330 580514128 725642660 907053325 1451285320 1814106650 2213210113 2902570640 3628213300 4426420226 4535266625 7256426600 8852840452 9070533250 11066050565 14512853200 17705680904 18141066500 22132101130 22676333125 35411361808 36282133000 44264202260 45352666250 55330252825 72564266000 88528404520 90705332500 110660505650 177056809040 181410665000 221321011300 276651264125 362821330000 442642022600 553302528250 885284045200 1106605056500 1383256320625 2213210113000 2766512641250 4426420226000 5533025282500 11066050565000 22132101130000