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11020000032 = 2532172314271
BaseRepresentation
bin10100100001101011…
…11101101100100000
31001110000002000010100
422100311331230200
5140032110000112
65021300502400
7540041311656
oct122065755440
931400060110
1011020000032
114745559148
1221766aaa00
13106810aaa2
147677d8dd6
154476e02dc
hex290d7db20

11020000032 has 216 divisors, whose sum is σ = 34371896832. Its totient is φ = 3344947200.

The previous prime is 11020000027. The next prime is 11020000039. The reversal of 11020000032 is 23000002011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11019999969 and 11020000023.

It is not an unprimeable number, because it can be changed into a prime (11020000039) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2578057 + ... + 2582327.

It is an arithmetic number, because the mean of its divisors is an integer number (159129152).

Almost surely, 211020000032 is an apocalyptic number.

11020000032 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 11020000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17185948416).

11020000032 is an abundant number, since it is smaller than the sum of its proper divisors (23351896800).

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

11020000032 is a wasteful number, since it uses less digits than its factorization.

11020000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 11020000032 its reverse (23000002011), we get a palindrome (34020002043).

The spelling of 11020000032 in words is "eleven billion, twenty million, thirty-two", and thus it is an aban number and an uban number.