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210202220020 = 225134733751043
BaseRepresentation
bin1100001111000100000…
…1110101010111110100
3202002120100120011100011
43003301001311113310
511420443232020040
6240322055030004
721121002250462
oct3036101652764
9662510504304
10210202220020
11811677450a1
12348a436b304
1316a8bb90260
14a261043832
155703e793ea
hex30f10755f4

210202220020 has 96 divisors (see below), whose sum is σ = 486945059328. Its totient is φ = 75734894592.

The previous prime is 210202219967. The next prime is 210202220023. The reversal of 210202220020 is 20022202012.

210202220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2102022200203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210202220023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4092619 + ... + 4143661.

It is an arithmetic number, because the mean of its divisors is an integer number (5072344368).

Almost surely, 2210202220020 is an apocalyptic number.

210202220020 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 210202220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243472529664).

210202220020 is an abundant number, since it is smaller than the sum of its proper divisors (276742839308).

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

210202220020 is a wasteful number, since it uses less digits than its factorization.

210202220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51449 (or 51447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 210202220020 its reverse (20022202012), we get a palindrome (230224422032).

The spelling of 210202220020 in words is "two hundred ten billion, two hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 337 470 611 674 940 1222 1348 1685 2444 3055 3370 4381 6110 6740 8762 12220 15839 17524 21905 31678 43810 51043 63356 79195 87620 102086 158390 204172 205907 255215 316780 411814 510430 663559 823628 1020860 1029535 1327118 2059070 2399021 2654236 3317795 4118140 4798042 6635590 9596084 11995105 13271180 17201491 23990210 31187273 34402982 47980420 62374546 68805964 86007455 124749092 155936365 172014910 223619383 311872730 344029820 447238766 623745460 808470077 894477532 1118096915 1616940154 2236193830 3233880308 4042350385 4472387660 8084700770 10510111001 16169401540 21020222002 42040444004 52550555005 105101110010 210202220020