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20122011211100 = 22521799011195483
BaseRepresentation
bin1001001001101000001010…
…10101001001010101011100
32122020122102120002020010012
410210310011111021111130
510114134334332223400
6110443531353502352
74144524124141331
oct444640525112534
978218376066105
1020122011211100
116458773826897
12230b944a119b8
13b2c66106c336
144d7ca673a988
1524d6466b5d35
hex124d0554955c

20122011211100 has 72 divisors (see below), whose sum is σ = 46237988110608. Its totient is φ = 7574573952000.

The previous prime is 20122011211091. The next prime is 20122011211139. The reversal of 20122011211100 is 111211022102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16233959 + ... + 17429441.

It is an arithmetic number, because the mean of its divisors is an integer number (642194279314).

Almost surely, 220122011211100 is an apocalyptic number.

20122011211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122011211100 is an abundant number, since it is smaller than the sum of its proper divisors (26115976899508).

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

20122011211100 is a wasteful number, since it uses less digits than its factorization.

20122011211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205415 (or 1205408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20122011211100 its reverse (111211022102), we get a palindrome (20233222233202).

The spelling of 20122011211100 in words is "twenty trillion, one hundred twenty-two billion, eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 9901 19802 39604 49505 99010 168317 198020 247525 336634 495050 673268 841585 990100 1195483 1683170 2390966 3366340 4207925 4781932 5977415 8415850 11954830 16831700 20323211 23909660 29887075 40646422 59774150 81292844 101616055 119548300 203232110 406464220 508080275 1016160550 2032321100 11836477183 23672954366 47345908732 59182385915 118364771830 201220112111 236729543660 295911929575 402440224222 591823859150 804880448444 1006100560555 1183647718300 2012201121110 4024402242220 5030502802775 10061005605550 20122011211100