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110002020000 = 253541996493
BaseRepresentation
bin110011001110010100…
…0011001111010100000
3101111221020012121021220
41212130220121322200
53300241004120000
6122311221015040
710642644512445
oct1463450317240
9344836177256
10110002020000
11427192aa834
121939b554480
13a4b0a56482
14547758b9cc
152cdc3961a0
hex199ca19ea0

110002020000 has 240 divisors, whose sum is σ = 379823542560. Its totient is φ = 27789696000.

The previous prime is 110002019993. The next prime is 110002020047. The reversal of 110002020000 is 20200011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1091754 + ... + 1188246.

It is an arithmetic number, because the mean of its divisors is an integer number (1582598094).

Almost surely, 2110002020000 is an apocalyptic number.

110002020000 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 110002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189911771280).

110002020000 is an abundant number, since it is smaller than the sum of its proper divisors (269821522560).

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

110002020000 is an equidigital number, since it uses as much as digits as its factorization.

110002020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96545 (or 96522 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 110002020000 its reverse (20200011), we get a palindrome (110022220011).

It can be divided in two parts, 1 and 10002020000, that added together give a palindrome (10002020001).

The spelling of 110002020000 in words is "one hundred ten billion, two million, twenty thousand".