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11103001140 = 22357211223259
BaseRepresentation
bin10100101011100101…
…00101101000110100
31001122210020220020110
422111302211220310
5140214332014030
65033423503020
7542066644500
oct122562455064
931583226213
1011103001140
11478839a100
12219a457a70
13107c37c17a
14774843300
1544eb381b0
hex295ca5a34

11103001140 has 648 divisors, whose sum is σ = 42258313440. Its totient is φ = 2169404160.

The previous prime is 11103001099. The next prime is 11103001141. The reversal of 11103001140 is 4110030111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103001141) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 188186431 + ... + 188186489.

Almost surely, 211103001140 is an apocalyptic number.

11103001140 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 11103001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21129156720).

11103001140 is an abundant number, since it is smaller than the sum of its proper divisors (31155312300).

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

11103001140 is a wasteful number, since it uses less digits than its factorization.

11103001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

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

Adding to 11103001140 its reverse (4110030111), we get a palindrome (15213031251).

The spelling of 11103001140 in words is "eleven billion, one hundred three million, one thousand, one hundred forty".