Search a number
-
+
210202201020 = 223572239223529
BaseRepresentation
bin1100001111000100000…
…1110000101110111100
3202002120100112012021110
43003301001300232330
511420443230413040
6240322054402020
721121002141210
oct3036101605674
9662510465243
10210202201020
1181167731899
12348a4360310
1316a8bb84706
14a26103a940
155703e73980
hex30f1070bbc

210202201020 has 96 divisors (see below), whose sum is σ = 672950476800. Its totient is φ = 48024543744.

The previous prime is 210202200983. The next prime is 210202201021. The reversal of 210202201020 is 20102202012.

It is a super-3 number, since 3×2102022010203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210202200987 and 210202201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210202201021) 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, 828616 + ... + 1052144.

It is an arithmetic number, because the mean of its divisors is an integer number (7009900800).

Almost surely, 2210202201020 is an apocalyptic number.

210202201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202201020 is an abundant number, since it is smaller than the sum of its proper divisors (462748275780).

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

210202201020 is a wasteful number, since it uses less digits than its factorization.

210202201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225787 (or 225785 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210202201020 its reverse (20102202012), we get a palindrome (230304403032).

The spelling of 210202201020 in words is "two hundred ten billion, two hundred two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2239 4478 6717 8956 11195 13434 15673 22390 26868 31346 33585 44780 47019 62692 67170 78365 94038 134340 156730 188076 223529 235095 313460 447058 470190 670587 894116 940380 1117645 1341174 1564703 2235290 2682348 3129406 3352935 4470580 4694109 6258812 6705870 7823515 9388218 13411740 15647030 18776436 23470545 31294060 46941090 93882180 500481431 1000962862 1501444293 2001925724 2502407155 3002888586 3503370017 5004814310 6005777172 7006740034 7507221465 10009628620 10510110051 14013480068 15014442930 17516850085 21020220102 30028885860 35033700170 42040440204 52550550255 70067400340 105101100510 210202201020