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110141310000 = 2435425114627
BaseRepresentation
bin110011010010011101…
…1110000010000110000
3101112021221022021020210
41212210323300100300
53301032133410000
6122333114304120
710646255454651
oct1464473602060
9345257267223
10110141310000
114278a997437
121941a128040
13a5038755a7
14548bc89528
152ce970c350
hex19a4ef0430

110141310000 has 200 divisors, whose sum is σ = 356991776064. Its totient is φ = 29252000000.

The previous prime is 110141309989. The next prime is 110141310073. The reversal of 110141310000 is 13141011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1101413100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7522687 + ... + 7537313.

Almost surely, 2110141310000 is an apocalyptic number.

110141310000 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 110141310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178495888032).

110141310000 is an abundant number, since it is smaller than the sum of its proper divisors (246850466064).

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

110141310000 is a wasteful number, since it uses less digits than its factorization.

110141310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14909 (or 14888 counting only the distinct ones).

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

Adding to 110141310000 its reverse (13141011), we get a palindrome (110154451011).

The spelling of 110141310000 in words is "one hundred ten billion, one hundred forty-one million, three hundred ten thousand".