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1102241335000 = 235413411932143
BaseRepresentation
bin10000000010100010101…
…101000000011011011000
310220101002002112101100011
4100002202231000123120
5121024342240210000
62202210201051304
7142430365521631
oct20024255003330
93811062471304
101102241335000
11395504553173
12159756486b34
137cc3024ccc0
143b4c5024888
151da126352ba
hex100a2b406d8

1102241335000 has 320 divisors, whose sum is σ = 2865141861120. Its totient is φ = 394813440000.

The previous prime is 1102241334947. The next prime is 1102241335001. The reversal of 1102241335000 is 5331422011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102241335001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 514343929 + ... + 514346071.

It is an arithmetic number, because the mean of its divisors is an integer number (8953568316).

Almost surely, 21102241335000 is an apocalyptic number.

1102241335000 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 1102241335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432570930560).

1102241335000 is an abundant number, since it is smaller than the sum of its proper divisors (1762900526120).

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

1102241335000 is a wasteful number, since it uses less digits than its factorization.

1102241335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 1102241335000 its reverse (5331422011), we get a palindrome (1107572757011).

The spelling of 1102241335000 in words is "one trillion, one hundred two billion, two hundred forty-one million, three hundred thirty-five thousand".