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201220210100 = 225272133158873
BaseRepresentation
bin1011101101100110101…
…0001011110110110100
3201020101101022210002002
42323121222023312310
511244044333210400
6232234515234432
720352265364600
oct2733152136664
9636341283062
10201220210100
11783786210a8
1232bb82a8a18
1315c8a06b5a0
149a4c192500
15537a652ed5
hex2ed9a8bdb4

201220210100 has 108 divisors (see below), whose sum is σ = 547009575084. Its totient is φ = 63682859520.

The previous prime is 201220210097. The next prime is 201220210111. The reversal of 201220210100 is 1012022102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1843671844 + 199376538256 = 42938^2 + 446516^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1515737 + ... + 1643136.

It is an arithmetic number, because the mean of its divisors is an integer number (5064903473).

Almost surely, 2201220210100 is an apocalyptic number.

201220210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220210100 is an abundant number, since it is smaller than the sum of its proper divisors (345789364984).

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

201220210100 is a wasteful number, since it uses less digits than its factorization.

201220210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158914 (or 3158900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201220210100 its reverse (1012022102), we get a palindrome (202232232202).

The spelling of 201220210100 in words is "two hundred one billion, two hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 3158873 6317746 12635492 15794365 22112111 31588730 41065349 44224222 63177460 78971825 82130698 88448444 110560555 154784777 157943650 164261396 205326745 221121110 287457443 309569554 315887300 410653490 442242220 552802775 574914886 619139108 773923885 821306980 1026633725 1105605550 1149829772 1437287215 1547847770 2012202101 2053267450 2211211100 2874574430 3095695540 3869619425 4024404202 4106534900 5749148860 7186436075 7739238850 8048808404 10061010505 14372872150 15478477700 20122021010 28745744300 40244042020 50305052525 100610105050 201220210100