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11100023220000 = 25354111310112809
BaseRepresentation
bin1010000110000110110011…
…1100001110011100100000
31110022011002200222201102010
42201201230330032130200
52423330321421020000
635335140312152520
72223643631421531
oct241415474163440
943264080881363
1011100023220000
11359a5478045a0
1212b3313398740
1362695c9a3730
142a535b71c688
15143b0c97dd50
hexa186cf0e720

11100023220000 has 960 divisors, whose sum is σ = 43202627233920. Its totient is φ = 2459136000000.

The previous prime is 11100023219977. The next prime is 11100023220133. The reversal of 11100023220000 is 2232000111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 159 ways as a sum of consecutive naturals, for example, 866573596 + ... + 866586404.

It is an arithmetic number, because the mean of its divisors is an integer number (45002736702).

Almost surely, 211100023220000 is an apocalyptic number.

11100023220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100023220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601313616960).

11100023220000 is an abundant number, since it is smaller than the sum of its proper divisors (32102604013920).

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

11100023220000 is a wasteful number, since it uses less digits than its factorization.

11100023220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967 (or 12944 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11100023220000 its reverse (2232000111), we get a palindrome (11102255220111).

The spelling of 11100023220000 in words is "eleven trillion, one hundred billion, twenty-three million, two hundred twenty thousand".