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11120220001000 = 2353111497399181
BaseRepresentation
bin1010000111010010000011…
…0000110101001011101000
31110101002020020210111110001
42201310200300311023220
52424143202310013000
635352320351232344
72225260263265135
oct241644060651350
943332206714401
1011120220001000
1135a8071318040
1212b720b2186b4
1362882b079416
142a6315bc958c
151443e0b1a46a
hexa1d20c352e8

11120220001000 has 256 divisors, whose sum is σ = 28619192160000. Its totient is φ = 4010705280000.

The previous prime is 11120220000997. The next prime is 11120220001019. The reversal of 11120220001000 is 10002202111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1211216410 + ... + 1211225590.

It is an arithmetic number, because the mean of its divisors is an integer number (111793719375).

Almost surely, 211120220001000 is an apocalyptic number.

11120220001000 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 11120220001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309596080000).

11120220001000 is an abundant number, since it is smaller than the sum of its proper divisors (17498972159000).

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

11120220001000 is a wasteful number, since it uses less digits than its factorization.

11120220001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10101 (or 10087 counting only the distinct ones).

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

Adding to 11120220001000 its reverse (10002202111), we get a palindrome (11130222203111).

The spelling of 11120220001000 in words is "eleven trillion, one hundred twenty billion, two hundred twenty million, one thousand".