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20130133223031 = 3131947578003653
BaseRepresentation
bin1001001001110111010010…
…11100001010011001110111
32122021102101121002011220220
410210323221130022121313
510114303003101114111
6110451353332425423
74145232316122366
oct444735134123167
978242347064826
1020130133223031
11646116145a647
122311430a78273
13b30356962060
144d84372c57dd
1524d96e762e06
hex124ee970a677

20130133223031 has 32 divisors (see below), whose sum is σ = 31073476439040. Its totient is φ = 11486088572544.

The previous prime is 20130133223029. The next prime is 20130133223077. The reversal of 20130133223031 is 13032233103102.

It is not a de Polignac number, because 20130133223031 - 21 = 20130133223029 is a prime.

It is a super-2 number, since 2×201301332230312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20130133222992 and 20130133223010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130133223531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288967000 + ... + 289036653.

It is an arithmetic number, because the mean of its divisors is an integer number (971046138720).

Almost surely, 220130133223031 is an apocalyptic number.

20130133223031 is a deficient number, since it is larger than the sum of its proper divisors (10943343216009).

20130133223031 is a wasteful number, since it uses less digits than its factorization.

20130133223031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578003735.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 20130133223031 its reverse (13032233103102), we get a palindrome (33162366326133).

The spelling of 20130133223031 in words is "twenty trillion, one hundred thirty billion, one hundred thirty-three million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 3 13 19 39 47 57 141 247 611 741 893 1833 2679 11609 34827 578003653 1734010959 7514047489 10982069407 22542142467 27166171691 32946208221 81498515073 142766902291 353160231983 428300706873 516157262129 1059480695949 1548471786387 6710044407677 20130133223031