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20133123120020 = 22518146571194253
BaseRepresentation
bin1001001001111100110111…
…01001101101101110010100
32122021201002222002200112102
410210332123221231232110
510114330114004320040
6110453010140341232
74145366362616261
oct444763351555624
978251088080472
1020133123120020
11646245614a499
122311b26244818
13b30712219b81
144d863c41c268
1524da96ead515
hex124f9ba6db94

20133123120020 has 48 divisors (see below), whose sum is σ = 42522311749008. Its totient is φ = 8007029729280.

The previous prime is 20133123120001. The next prime is 20133123120037. The reversal of 20133123120020 is 2002132133102.

It can be written as a sum of positive squares in 8 ways, for example, as 6343456778884 + 13789666341136 = 2518622^2 + 3713444^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20133123119974 and 20133123120001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16261214 + ... + 17455466.

It is an arithmetic number, because the mean of its divisors is an integer number (885881494771).

Almost surely, 220133123120020 is an apocalyptic number.

20133123120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133123120020 is an abundant number, since it is smaller than the sum of its proper divisors (22389188628988).

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

20133123120020 is a wasteful number, since it uses less digits than its factorization.

20133123120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199100 (or 1199098 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20133123120020 its reverse (2002132133102), we get a palindrome (22135255253122).

The spelling of 20133123120020 in words is "twenty trillion, one hundred thirty-three billion, one hundred twenty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 4657 9314 18628 23285 46570 93140 842917 1194253 1685834 2388506 3371668 4214585 4777012 5971265 8429170 11942530 16858340 23885060 216159793 432319586 864639172 1080798965 2161597930 4323195860 5561636221 11123272442 22246544884 27808181105 55616362210 111232724420 1006656156001 2013312312002 4026624624004 5033280780005 10066561560010 20133123120020