Search a number
-
+
20011210213131 = 32315411087121967
BaseRepresentation
bin1001000110011001110010…
…00100111000011100001011
32121212001102122110100002200
410203030321010320130023
510110330424303310011
6110321004551531243
74133522305166664
oct443147104703413
977761378410080
1020011210213131
116415785524095
1222b2381989b23
13b22083930247
144d279500c36b
1524a80e0ea856
hex12333913870b

20011210213131 has 48 divisors (see below), whose sum is σ = 29920401358848. Its totient is φ = 12874633387200.

The previous prime is 20011210213019. The next prime is 20011210213201. The reversal of 20011210213131 is 13131201211002.

20011210213131 is a `hidden beast` number, since 200 + 1 + 121 + 0 + 213 + 131 = 666.

It is not a de Polignac number, because 20011210213131 - 242 = 15613163702027 is a prime.

It is a super-3 number, since 3×200112102131313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20011210213331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164009710 + ... + 164131676.

It is an arithmetic number, because the mean of its divisors is an integer number (623341694976).

Almost surely, 220011210213131 is an apocalyptic number.

20011210213131 is a deficient number, since it is larger than the sum of its proper divisors (9909191145717).

20011210213131 is a wasteful number, since it uses less digits than its factorization.

20011210213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123632 (or 123629 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20011210213131 its reverse (13131201211002), we get a palindrome (33142411424133).

The spelling of 20011210213131 in words is "twenty trillion, eleven billion, two hundred ten million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 31 93 279 541 1087 1623 3261 4869 9783 16771 33697 50313 101091 121967 150939 303273 365901 588067 1097703 1764201 3780977 5292603 11342931 18230077 34028793 54690231 65984147 132578129 164070693 197952441 397734387 593857323 1193203161 2045508557 4109921999 6136525671 12329765997 18409577013 36989297991 71724767789 215174303367 645522910101 2223467801459 6670403404377 20011210213131