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20132120020221 = 3311283487491833
BaseRepresentation
bin1001001001111010111111…
…10111001100010011111101
32122021121112001120221022000
410210331133313030103331
510114321040211121341
6110452322424412513
74145332462455126
oct444753767142375
978247461527260
1020132120020221
116461a909a97a0
1223118a6317139
13b305b2465ab1
144d858510504d
1524da38db88b6
hex124f5fdcc4fd

20132120020221 has 64 divisors (see below), whose sum is σ = 32718843709440. Its totient is φ = 12133180667520.

The previous prime is 20132120020151. The next prime is 20132120020253. The reversal of 20132120020221 is 12202002123102.

20132120020221 is a `hidden beast` number, since 201 + 3 + 21 + 200 + 20 + 221 = 666.

It is not a de Polignac number, because 20132120020221 - 211 = 20132120018173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20132120020194 and 20132120020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132120020321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40686921 + ... + 41178753.

It is an arithmetic number, because the mean of its divisors is an integer number (511231932960).

Almost surely, 220132120020221 is an apocalyptic number.

It is an amenable number.

20132120020221 is a deficient number, since it is larger than the sum of its proper divisors (12586723689219).

20132120020221 is a wasteful number, since it uses less digits than its factorization.

20132120020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492623 (or 492617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20132120020221 its reverse (12202002123102), we get a palindrome (32334122143323).

The spelling of 20132120020221 in words is "twenty trillion, one hundred thirty-two billion, one hundred twenty million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 283 297 487 849 1461 2547 3113 4383 5357 7641 9339 13149 16071 28017 48213 84051 137821 144639 413463 491833 1240389 1475499 1516031 3721167 4426497 4548093 5410163 13279491 13644279 16230489 40932837 48691467 139188739 146074401 239522671 417566217 718568013 1252698651 1531076129 2155704039 2634749381 3758095953 4593228387 6467112117 7904248143 13779685161 23712744429 41339055483 67784915893 71138233287 203354747679 610064243037 745634074823 1830192729111 2236902224469 6710706673407 20132120020221