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443121101430020 = 2251310915635889253
BaseRepresentation
bin110010011000001000010101…
…1110101111101110100000100
32011002221222000110011110100022
41210300100223311331310010
5431040044003431230040
64210235005042434312
7162223304660306006
oct14460205365756404
92132858013143308
10443121101430020
11119212670683202
1241847a08362998
13160341a9a912c0
147b5d266354376
1536368e40ae6b5
hex193042bd7dd04

443121101430020 has 48 divisors (see below), whose sum is σ = 1011329316948720. Its totient is φ = 162112899764736.

The previous prime is 443121101430019. The next prime is 443121101430023. The reversal of 443121101430020 is 20034101121344.

It can be written as a sum of positive squares in 8 ways, for example, as 90897766177024 + 352223335252996 = 9534032^2 + 18767614^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (443121101430023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7817916287 + ... + 7817972966.

It is an arithmetic number, because the mean of its divisors is an integer number (21069360769765).

Almost surely, 2443121101430020 is an apocalyptic number.

It is an amenable number.

443121101430020 is an abundant number, since it is smaller than the sum of its proper divisors (568208215518700).

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

443121101430020 is a wasteful number, since it uses less digits than its factorization.

443121101430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15635889384 (or 15635889382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 443121101430020 its reverse (20034101121344), we get a palindrome (463155202551364).

The spelling of 443121101430020 in words is "four hundred forty-three trillion, one hundred twenty-one billion, one hundred one million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 5668 7085 14170 28340 15635889253 31271778506 62543557012 78179446265 156358892530 203266560289 312717785060 406533120578 813066241156 1016332801445 1704311928577 2032665602890 3408623857154 4065331205780 6817247714308 8521559642885 17043119285770 22156055071501 34086238571540 44312110143002 88624220286004 110780275357505 221560550715010 443121101430020