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20010333122100 = 22325222233703469
BaseRepresentation
bin1001000110011000001001…
…10011000010111000110100
32121211222011112001111101200
410203030010303002320310
510110322130234401400
6110320341540452500
74133461465064166
oct443140463027064
977758145044350
1020010333122100
116415375419672
1222b21780aa130
13b21c73cc8079
144d2710736936
1524a7ac0e6b00
hex123304cc2e34

20010333122100 has 54 divisors (see below), whose sum is σ = 62721277488870. Its totient is φ = 5336088832320.

The previous prime is 20010333122027. The next prime is 20010333122119. The reversal of 20010333122100 is 122133301002.

20010333122100 is a `hidden beast` number, since 20 + 0 + 103 + 331 + 2 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4657775443344 + 15352557678756 = 2158188^2 + 3918234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11116850835 + ... + 11116852634.

Almost surely, 220010333122100 is an apocalyptic number.

20010333122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010333122100 is an abundant number, since it is smaller than the sum of its proper divisors (42710944366770).

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

20010333122100 is a wasteful number, since it uses less digits than its factorization.

20010333122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22233703489 (or 22233703479 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20010333122100 its reverse (122133301002), we get a palindrome (20132466423102).

The spelling of 20010333122100 in words is "twenty trillion, ten billion, three hundred thirty-three million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22233703469 44467406938 66701110407 88934813876 111168517345 133402220814 200103331221 222337034690 266804441628 333505552035 400206662442 444674069380 555842586725 667011104070 800413324884 1000516656105 1111685173450 1334022208140 1667527760175 2001033312210 2223370346900 3335055520350 4002066624420 5002583280525 6670111040700 10005166561050 20010333122100