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20021220210100 = 22528811507315077
BaseRepresentation
bin1001000110101100011011…
…01101111111010110110100
32121220000021021000212111011
410203112031231333112310
510111011424333210400
6110325342132522004
74134325333566424
oct443261555772664
977800237025434
1020021220210100
116419a51946a5a
1222b42b6180304
13b22cba70aa85
144d3064614484
1524abe7cd08ba
hex12358db7f5b4

20021220210100 has 72 divisors (see below), whose sum is σ = 43501133046168. Its totient is φ = 7998336614400.

The previous prime is 20021220210073. The next prime is 20021220210127. The reversal of 20021220210100 is 101202212002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20021220210073) and next prime (20021220210127).

It can be written as a sum of positive squares in 12 ways, for example, as 14651164803856 + 5370055406244 = 3827684^2 + 2317338^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1327923762 + ... + 1327938838.

It is an arithmetic number, because the mean of its divisors is an integer number (604182403419).

Almost surely, 220021220210100 is an apocalyptic number.

20021220210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021220210100 is an abundant number, since it is smaller than the sum of its proper divisors (23479912836068).

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

20021220210100 is a wasteful number, since it uses less digits than its factorization.

20021220210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31045 (or 31038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20021220210100 its reverse (101202212002), we get a palindrome (20122422422102).

The spelling of 20021220210100 in words is "twenty trillion, twenty-one billion, two hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 881 1762 3524 4405 8810 15073 15077 17620 22025 30146 30154 44050 60292 60308 75365 75385 88100 150730 150770 301460 301540 376825 376925 753650 753850 1507300 1507700 13279313 13282837 26558626 26565674 53117252 53131348 66396565 66414185 132793130 132828370 227255621 265586260 265656740 331982825 332070925 454511242 663965650 664141850 909022484 1136278105 1327931300 1328283700 2272556210 4545112420 5681390525 11362781050 22725562100 200212202101 400424404202 800848808404 1001061010505 2002122021010 4004244042020 5005305052525 10010610105050 20021220210100