Search a number
-
+
5021301141020 = 22543127106143331
BaseRepresentation
bin100100100010001110011…
…0111101110111000011100
3122210000212002222012121002
41021010130313232320130
51124232111043003040
614402430501525432
71025530344321113
oct111043467567034
918700762865532
105021301141020
11166658165303a
126911b3713878
132a56781b6318
141350647a8c7a
158a937805a15
hex4911cdeee1c

5021301141020 has 96 divisors (see below), whose sum is σ = 10885419933696. Its totient is φ = 1944484012800.

The previous prime is 5021301141011. The next prime is 5021301141107. The reversal of 5021301141020 is 201411031205.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5021301140983 and 5021301141001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115860755 + ... + 115904085.

It is an arithmetic number, because the mean of its divisors is an integer number (113389790976).

Almost surely, 25021301141020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5021301141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442709966848).

5021301141020 is an abundant number, since it is smaller than the sum of its proper divisors (5864118792676).

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

5021301141020 is a wasteful number, since it uses less digits than its factorization.

5021301141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44571 (or 44569 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 5021301141020 its reverse (201411031205), we get a palindrome (5222712172225).

The spelling of 5021301141020 in words is "five trillion, twenty-one billion, three hundred one million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 430 508 635 860 1061 1270 2122 2540 4244 5305 5461 10610 10922 21220 21844 27305 43331 45623 54610 86662 91246 109220 134747 173324 182492 216655 228115 269494 433310 456230 538988 673735 866620 912460 1347470 1863233 2694940 3726466 5503037 5794121 7452932 9316165 11006074 11588242 18632330 22012148 23176484 27515185 28970605 37264660 45974191 55030370 57941210 91948382 110060740 115882420 183896764 229870955 236630591 459741910 473261182 919483820 946522364 1183152955 1976890213 2366305910 3953780426 4732611820 5838722257 7907560852 9884451065 11677444514 19768902130 23354889028 29193611285 39537804260 58387222570 116774445140 251065057051 502130114102 1004260228204 1255325285255 2510650570510 5021301141020