Search a number
-
+
20130310130133 = 37229131178920149
BaseRepresentation
bin1001001001110111100111…
…11111000000100111010101
32122021102211220221222211210
410210323303333000213111
510114303333343131013
6110451423052252033
74145236564606500
oct444736377004725
978242756858753
1020130310130133
1164612422aa565
122311480171019
13b303844c2208
144d84529b6137
1524d980059cc3
hex124ef3fc09d5

20130310130133 has 96 divisors (see below), whose sum is σ = 32565527280000. Its totient is φ = 11014889034240.

The previous prime is 20130310130027. The next prime is 20130310130197. The reversal of 20130310130133 is 33103101303102.

It is not a de Polignac number, because 20130310130133 - 210 = 20130310129109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130310131133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999062343 + ... + 999082491.

It is an arithmetic number, because the mean of its divisors is an integer number (339224242500).

Almost surely, 220130310130133 is an apocalyptic number.

It is an amenable number.

20130310130133 is a deficient number, since it is larger than the sum of its proper divisors (12435217149867).

20130310130133 is a wasteful number, since it uses less digits than its factorization.

20130310130133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22115 (or 22108 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 20130310130133 its reverse (33103101303102), we get a palindrome (53233411433235).

The spelling of 20130310130133 in words is "twenty trillion, one hundred thirty billion, three hundred ten million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 7 21 29 49 87 131 147 203 393 609 917 1421 1789 2751 3799 4263 5367 6419 11397 12523 19257 20149 26593 37569 51881 60447 79779 87661 141043 155643 186151 234359 262983 363167 423129 558453 584321 703077 987301 1089501 1640513 1752963 2542169 2639519 2961903 4090247 4921539 6796411 7626507 7918557 11483591 12270741 18476633 20389233 28631729 34450773 36046561 47574877 55429899 76546051 85895187 108139683 129336431 142724631 229638153 252325927 333024139 388009293 535822357 756977781 999072417 1045350269 1607467071 1766281489 3136050807 3750756499 4722099491 5298844467 7317451883 11252269497 14166298473 21952355649 33054696437 51222163181 99164089311 136940885239 153666489543 231382875059 410822655717 694148625177 958586196673 2875758590019 6710103376711 20130310130133