Search a number
-
+
202021100200220 = 225733720392100011
BaseRepresentation
bin101101111011110010110011…
…111010100010000100011100
3222111022000202211020010202112
4231323302303322202010130
5202434403203122401340
61553355113501013152
760360354122465360
oct5573626372420434
9874260684203675
10202021100200220
1159408738424934
121a7a90618541b8
13889567b11ba12
1437c5c3294b2a0
1518550746ad065
hexb7bcb3ea211c

202021100200220 has 96 divisors (see below), whose sum is σ = 486528092144640. Its totient is φ = 69024943088640.

The previous prime is 202021100200211. The next prime is 202021100200223. The reversal of 202021100200220 is 22002001120202.

It is a super-2 number, since 2×2020211002002202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202021100200195 and 202021100200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202021100200223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95150015 + ... + 97250025.

It is an arithmetic number, because the mean of its divisors is an integer number (5068000959840).

Almost surely, 2202021100200220 is an apocalyptic number.

202021100200220 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 202021100200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243264046072320).

202021100200220 is an abundant number, since it is smaller than the sum of its proper divisors (284506991944420).

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

202021100200220 is a wasteful number, since it uses less digits than its factorization.

202021100200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102403 (or 2102401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202021100200220 its reverse (22002001120202), we get a palindrome (224023101320422).

The spelling of 202021100200220 in words is "two hundred two trillion, twenty-one billion, one hundred million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 337 674 1348 1685 2039 2359 3370 4078 4718 6740 8156 9436 10195 11795 14273 20390 23590 28546 40780 47180 57092 71365 142730 285460 687143 1374286 2100011 2748572 3435715 4200022 4810001 6871430 8400044 9620002 10500055 13742860 14700077 19240004 21000110 24050005 29400154 42000220 48100010 58800308 73500385 96200020 147000770 294001540 707703707 1415407414 2830814828 3538518535 4281922429 4953925949 7077037070 8563844858 9907851898 14154074140 17127689716 19815703796 21409612145 24769629745 29973457003 42819224290 49539259490 59946914006 85638448580 99078518980 119893828012 149867285015 299734570030 599469140060 1443007858573 2886015717146 5772031434292 7215039292865 10101055010011 14430078585730 20202110020022 28860157171460 40404220040044 50505275050055 101010550100110 202021100200220