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110002110000 = 2435437113877
BaseRepresentation
bin110011001110010100…
…0101111111000110000
3101111221020101011202020
41212130220233320300
53300241020010000
6122311222551440
710642645336026
oct1463450577060
9344836334666
10110002110000
1142719361412
121939b598580
13a4b0a88423
1454775b2716
152cdc3b2ba0
hex199ca2fe30

110002110000 has 400 divisors, whose sum is σ = 368345766624. Its totient is φ = 28256256000.

The previous prime is 110002109999. The next prime is 110002110059. The reversal of 110002110000 is 11200011.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125429562 + ... + 125430438.

Almost surely, 2110002110000 is an apocalyptic number.

110002110000 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 110002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184172883312).

110002110000 is an abundant number, since it is smaller than the sum of its proper divisors (258343656624).

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

110002110000 is a wasteful number, since it uses less digits than its factorization.

110002110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110002110000 its reverse (11200011), we get a palindrome (110013310011).

The spelling of 110002110000 in words is "one hundred ten billion, two million, one hundred ten thousand".