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20101221110200 = 23521943093122753
BaseRepresentation
bin1001001001000001011100…
…01001001101000110111000
32122011122202122211200012011
410210200232021031012320
510113314300101011300
6110430212401455304
74143156666200266
oct444405611150670
978148678750164
1020101221110200
11644a97530831a
122307902341534
13b2a6c9a99499
144d6c93545436
1524cd2b3caeba
hex12482e24d1b8

20101221110200 has 96 divisors (see below), whose sum is σ = 49196636146800. Its totient is φ = 7617066024960.

The previous prime is 20101221110161. The next prime is 20101221110207. The reversal of 20101221110200 is 201112210102.

It is a super-3 number, since 3×201012211102003 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101221110207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163692024 + ... + 163814776.

Almost surely, 220101221110200 is an apocalyptic number.

20101221110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101221110200 is an abundant number, since it is smaller than the sum of its proper divisors (29095415036600).

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

20101221110200 is a wasteful number, since it uses less digits than its factorization.

20101221110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165881 (or 165872 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20101221110200 its reverse (201112210102), we get a palindrome (20302333320302).

The spelling of 20101221110200 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 43093 86186 122753 172372 215465 245506 344744 430930 491012 613765 818767 861860 982024 1077325 1227530 1637534 1723720 2154650 2332307 2455060 3068825 3275068 4093835 4309300 4664614 4910120 6137650 6550136 8187670 8618600 9329228 11661535 12275300 16375340 18658456 20469175 23323070 24550600 32750680 40938350 46646140 58307675 81876700 93292280 116615350 163753400 233230700 466461400 5289795029 10579590058 21159180116 26448975145 42318360232 52897950290 100506105551 105795900580 132244875725 201012211102 211591801160 264489751450 402024422204 502530527755 528979502900 804048844408 1005061055510 1057959005800 2010122111020 2512652638775 4020244222040 5025305277550 10050610555100 20101221110200