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110121344020 = 225311297136943
BaseRepresentation
bin110011010001110111…
…1100101110000010100
3101112020112201220002001
41212203233211300110
53301012031002040
6122331122325044
710645623660052
oct1464357456024
9345215656061
10110121344020
114277a69a726
12194134b9784
13a4cc6a47bc
14548936d1d2
152ce7ab659a
hex19a3be5c14

110121344020 has 48 divisors (see below), whose sum is σ = 238900451328. Its totient is φ = 42594439680.

The previous prime is 110121343987. The next prime is 110121344093. The reversal of 110121344020 is 20443121011.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 735669 + ... + 872611.

It is an arithmetic number, because the mean of its divisors is an integer number (4977092736).

Almost surely, 2110121344020 is an apocalyptic number.

110121344020 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 110121344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119450225664).

110121344020 is an abundant number, since it is smaller than the sum of its proper divisors (128779107308).

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

110121344020 is a wasteful number, since it uses less digits than its factorization.

110121344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138280 (or 138278 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 110121344020 its reverse (20443121011), we get a palindrome (130564465031).

The spelling of 110121344020 in words is "one hundred ten billion, one hundred twenty-one million, three hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1297 2594 5188 6485 12970 25940 40207 80414 136943 160828 201035 273886 402070 547772 684715 804140 1369430 2738860 4245233 8490466 16980932 21226165 42452330 84904660 177615071 355230142 710460284 888075355 1776150710 3552301420 5506067201 11012134402 22024268804 27530336005 55060672010 110121344020