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11432113110 = 23251137461677
BaseRepresentation
bin10101010010110100…
…00011001111010110
31002111201112111222200
422221122003033112
5141403110104420
65130221505330
7553204233555
oct125132031726
932451474880
1011432113110
114937147870
122270712246
131102600992
147a6433d9c
1546d997b90
hex2a96833d6

11432113110 has 192 divisors, whose sum is σ = 33423534144. Its totient is φ = 2686694400.

The previous prime is 11432113061. The next prime is 11432113157. The reversal of 11432113110 is 1131123411.

It is a happy number.

11432113110 is a `hidden beast` number, since 1 + 143 + 211 + 311 + 0 = 666.

11432113110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16886092 + ... + 16886768.

It is an arithmetic number, because the mean of its divisors is an integer number (174080907).

Almost surely, 211432113110 is an apocalyptic number.

11432113110 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 11432113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16711767072).

11432113110 is an abundant number, since it is smaller than the sum of its proper divisors (21991421034).

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

11432113110 is a wasteful number, since it uses less digits than its factorization.

11432113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11432113110 its reverse (1131123411), we get a palindrome (12563236521).

The spelling of 11432113110 in words is "eleven billion, four hundred thirty-two million, one hundred thirteen thousand, one hundred ten".