Search a number
-
+
202020020020 = 225713199557789
BaseRepresentation
bin1011110000100101010…
…1001101111100110100
3201022110010022100000201
42330021111031330310
511302214111120040
6232450130050244
720411146560130
oct2741125157464
9638403270021
10202020020020
1178749042135
12331a0119984
1316086985ab0
149ac64ac3c0
1553c598da9a
hex2f0954df34

202020020020 has 96 divisors (see below), whose sum is σ = 524768832000. Its totient is φ = 63614605824.

The previous prime is 202020019973. The next prime is 202020020051. The reversal of 202020020020 is 20020020202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202020019979 and 202020020006.

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, 83286 + ... + 641074.

It is an arithmetic number, because the mean of its divisors is an integer number (5466342000).

Almost surely, 2202020020020 is an apocalyptic number.

202020020020 is a gapful number since it is divisible by the number (20) 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 202020020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262384416000).

202020020020 is an abundant number, since it is smaller than the sum of its proper divisors (322748811980).

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

202020020020 is a wasteful number, since it uses less digits than its factorization.

202020020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558017 (or 558015 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 202020020020 its reverse (20020020202), we get a palindrome (222040040222).

The spelling of 202020020020 in words is "two hundred two billion, twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 199 260 364 398 455 796 910 995 1393 1820 1990 2587 2786 3980 5174 5572 6965 10348 12935 13930 18109 25870 27860 36218 51740 72436 90545 181090 362180 557789 1115578 2231156 2788945 3904523 5577890 7251257 7809046 11155780 14502514 15618092 19522615 29005028 36256285 39045230 50758799 72512570 78090460 101517598 111000011 145025140 203035196 222000022 253793995 444000044 507587990 555000055 777000077 1015175980 1110000110 1443000143 1554000154 2220000220 2886000286 3108000308 3885000385 5772000572 7215000715 7770000770 10101001001 14430001430 15540001540 20202002002 28860002860 40404004004 50505005005 101010010010 202020020020