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1102032000000 = 21033562551
BaseRepresentation
bin10000000010010110001…
…110011101010000000000
310220100112111122001201000
4100002112032131100000
5121023430143000000
62202133322212000
7142422244304541
oct20022616352000
93810474561630
101102032000000
11395407374738
121596b8354000
137cbc8a77a39
143b4a52d24c8
151d9ee085000
hex1009639d400

1102032000000 has 616 divisors, whose sum is σ = 4081154010560. Its totient is φ = 293760000000.

The previous prime is 1102031999993. The next prime is 1102032000001. The reversal of 1102032000000 is 2302011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102032000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 431998725 + ... + 432001275.

Almost surely, 21102032000000 is an apocalyptic number.

1102032000000 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 1102032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040577005280).

1102032000000 is an abundant number, since it is smaller than the sum of its proper divisors (2979122010560).

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

1102032000000 is an frugal number, since it uses more digits than its factorization.

1102032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2561 counting only the distinct ones).

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

Adding to 1102032000000 its reverse (2302011), we get a palindrome (1102034302011).

The spelling of 1102032000000 in words is "one trillion, one hundred two billion, thirty-two million", and thus it is an aban number.