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11002221010000 = 245411100020191
BaseRepresentation
bin1010000000011010011101…
…1110011001110001010000
31102221210122200212200021001
42200012213132121301100
52420230022034310000
635222203415311344
72213612202356203
oct240064736316120
942853580780231
1011002221010000
113562019a29670
12129837967b554
1361a67460075c
142a072052193a
151412d667646a
hexa01a7799c50

11002221010000 has 100 divisors (see below), whose sum is σ = 29059066422144. Its totient is φ = 4000807600000.

The previous prime is 11002221009961. The next prime is 11002221010003. The reversal of 11002221010000 is 1012220011.

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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002221010003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 49900096 + ... + 50120095.

Almost surely, 211002221010000 is an apocalyptic number.

11002221010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002221010000 is an abundant number, since it is smaller than the sum of its proper divisors (18056845412144).

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

11002221010000 is a wasteful number, since it uses less digits than its factorization.

11002221010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100020230 (or 100020209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11002221010000 its reverse (1012220011), we get a palindrome (11003233230011).

The spelling of 11002221010000 in words is "eleven trillion, two billion, two hundred twenty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 100020191 200040382 400080764 500100955 800161528 1000201910 1100222101 1600323056 2000403820 2200444202 2500504775 4000807640 4400888404 5001009550 5501110505 8001615280 8801776808 10002019100 11002221010 12502523875 17603553616 20004038200 22004442020 25005047750 27505552525 40008076400 44008884040 50010095500 55011105050 62512619375 88017768080 100020191000 110022210100 125025238750 137527762625 200040382000 220044420200 250050477500 275055525250 440088840400 500100955000 550111050500 687638813125 1000201910000 1100222101000 1375277626250 2200444202000 2750555252500 5501110505000 11002221010000