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11100022210000 = 245410110990121
BaseRepresentation
bin1010000110000110110011…
…1000010111110111010000
31110022011002122002101221201
42201201230320113313100
52423330321141210000
635335140234400544
72223643620014113
oct241415470276720
943264078071851
1011100022210000
11359a547184789
1212b3312b90154
1362695c70bab9
142a535b53857a
15143b0c82e96a
hexa186ce17dd0

11100022210000 has 100 divisors (see below), whose sum is σ = 27140348061684. Its totient is φ = 4396048000000.

The previous prime is 11100022209977. The next prime is 11100022210001. The reversal of 11100022210000 is 1222000111.

It can be written as a sum of positive squares in 10 ways, for example, as 4756918033296 + 6343104176704 = 2181036^2 + 2518552^2 .

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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100022210001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4485061 + ... + 6505060.

Almost surely, 211100022210000 is an apocalyptic number.

11100022210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100022210000 is an abundant number, since it is smaller than the sum of its proper divisors (16040325851684).

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

11100022210000 is a wasteful number, since it uses less digits than its factorization.

11100022210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990250 (or 10990229 counting only the distinct ones).

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

Adding to 11100022210000 its reverse (1222000111), we get a palindrome (11101244210111).

The spelling of 11100022210000 in words is "eleven trillion, one hundred billion, twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 202000 252500 505000 1010000 10990121 21980242 43960484 54950605 87920968 109901210 175841936 219802420 274753025 439604840 549506050 879209680 1099012100 1110002221 1373765125 2198024200 2220004442 2747530250 4396048400 4440008884 5495060500 5550011105 6868825625 8880017768 10990121000 11100022210 13737651250 17760035536 21980242000 22200044420 27475302500 27750055525 44400088840 54950605000 55500111050 88800177680 109901210000 111000222100 138750277625 222000444200 277500555250 444000888400 555001110500 693751388125 1110002221000 1387502776250 2220004442000 2775005552500 5550011105000 11100022210000