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11121220110 = 235711213131257
BaseRepresentation
bin10100101101110000…
…00101101000001110
31001201001112111222010
422112320011220032
5140234013020420
65035314202050
7542410545150
oct122670055016
931631474863
1011121220110
114797703300
1221a4583326
13108308aa20
14777026ad0
154515364e0
hex296e05a0e

11121220110 has 384 divisors, whose sum is σ = 36525468672. Its totient is φ = 2108620800.

The previous prime is 11121220069. The next prime is 11121220139. The reversal of 11121220110 is 1102212111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43273102 + ... + 43273358.

It is an arithmetic number, because the mean of its divisors is an integer number (95118408).

Almost surely, 211121220110 is an apocalyptic number.

11121220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18262734336).

11121220110 is an abundant number, since it is smaller than the sum of its proper divisors (25404248562).

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

11121220110 is a wasteful number, since it uses less digits than its factorization.

11121220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121220110 its reverse (1102212111), we get a palindrome (12223432221).

The spelling of 11121220110 in words is "eleven billion, one hundred twenty-one million, two hundred twenty thousand, one hundred ten".