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110121031120 = 2452273605593
BaseRepresentation
bin110011010001110111…
…0011001010111010000
3101112020112010222212011
41212203232121113100
53301011440443440
6122331111512304
710645621214602
oct1464356312720
9345215128764
10110121031120
114277a4a6631
1219413388694
13a4cc5c5259
1454892cb172
152ce7a539ea
hex19a3b995d0

110121031120 has 40 divisors (see below), whose sum is σ = 256144460616. Its totient is φ = 44028960768.

The previous prime is 110121031081. The next prime is 110121031123. The reversal of 110121031120 is 21130121011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26294568336 + 83826462784 = 162156^2 + 289528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1101210311203 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110121031120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121031123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 120957 + ... + 484636.

Almost surely, 2110121031120 is an apocalyptic number.

110121031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110121031120 is an abundant number, since it is smaller than the sum of its proper divisors (146023429496).

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

110121031120 is a wasteful number, since it uses less digits than its factorization.

110121031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607879 (or 607873 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 110121031120 its reverse (21130121011), we get a palindrome (131251152131).

The spelling of 110121031120 in words is "one hundred ten billion, one hundred twenty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2273 4546 9092 11365 18184 22730 36368 45460 90920 181840 605593 1211186 2422372 3027965 4844744 6055930 9689488 12111860 24223720 48447440 1376512889 2753025778 5506051556 6882564445 11012103112 13765128890 22024206224 27530257780 55060515560 110121031120