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11111134032 = 24321923317557
BaseRepresentation
bin10100101100100011…
…00111001101010000
31001200100120002110200
422112101213031100
5140223422242112
65034314055200
7542226036525
oct122621471520
931610502420
1011111134032
114791a444a9
1221a111a500
131080c68c2b
1477595d14c
154506e2cdc
hex296467350

11111134032 has 240 divisors, whose sum is σ = 34324767360. Its totient is φ = 3339629568.

The previous prime is 11111133991. The next prime is 11111134063. The reversal of 11111134032 is 23043111111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11111133996 and 11111134014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19947898 + ... + 19948454.

It is an arithmetic number, because the mean of its divisors is an integer number (143019864).

Almost surely, 211111134032 is an apocalyptic number.

11111134032 is a gapful number since it is divisible by the number (12) 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 11111134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162383680).

11111134032 is an abundant number, since it is smaller than the sum of its proper divisors (23213633328).

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

11111134032 is a wasteful number, since it uses less digits than its factorization.

11111134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 921 counting only the distinct ones).

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

Adding to 11111134032 its reverse (23043111111), we get a palindrome (34154245143).

The spelling of 11111134032 in words is "eleven billion, one hundred eleven million, one hundred thirty-four thousand, thirty-two".