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20013132203311 = 1317253907110813
BaseRepresentation
bin1001000110011101010111…
…01000101100010100101111
32121212020101121000112222011
410203032223220230110233
510110343343321001221
6110321523410502051
74133621033634622
oct443165350542457
977766347015864
1020013132203311
116416581429825
1222b2819594927
13b222cbb93040
144d28d839bdb9
1524a8c2bee1e1
hex1233aba2c52f

20013132203311 has 48 divisors (see below), whose sum is σ = 23352890942304. Its totient is φ = 17039956617216.

The previous prime is 20013132203269. The next prime is 20013132203327. The reversal of 20013132203311 is 11330223131002.

It is not a de Polignac number, because 20013132203311 - 29 = 20013132202799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013132203371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180547341 + ... + 180658153.

It is an arithmetic number, because the mean of its divisors is an integer number (486518561298).

Almost surely, 220013132203311 is an apocalyptic number.

20013132203311 is a deficient number, since it is larger than the sum of its proper divisors (3339758738993).

20013132203311 is a wasteful number, since it uses less digits than its factorization.

20013132203311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111820 (or 111803 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 20013132203311 its reverse (11330223131002), we get a palindrome (31343355334313).

The spelling of 20013132203311 in words is "twenty trillion, thirteen billion, one hundred thirty-two million, two hundred three thousand, three hundred eleven".

Divisors: 1 13 17 53 221 289 689 901 907 3757 11713 11791 15317 15419 48071 110813 199121 200447 262123 624923 817207 1440569 1883821 3407599 5873089 10623691 13892519 24489673 32024957 76350157 99842513 100507391 180602747 416324441 1297952669 1306596083 1697322721 1708625647 5326891723 22065195373 22212133411 29046635999 69249592399 90557159291 377606267987 1177243070783 1539471707947 20013132203311