Search a number
-
+
11131100331303 = 329412397191717
BaseRepresentation
bin1010000111111010100101…
…0001111111110100100111
31110102010022112001112201110
42201332221101333310213
52424332443141100203
635401320142400103
72226124020463551
oct241765121776447
943363275045643
1011131100331303
113601744a4a257
1212b9346b90033
136298732642a4
142a6a68c284d1
1514482ae1bd03
hexa1fa947fd27

11131100331303 has 48 divisors (see below), whose sum is σ = 15776566244640. Its totient is φ = 6972450186240.

The previous prime is 11131100331233. The next prime is 11131100331319. The reversal of 11131100331303 is 30313300113111.

It is not a de Polignac number, because 11131100331303 - 213 = 11131100323111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11131100331303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131100331343) 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, 57964201 + ... + 58155917.

It is an arithmetic number, because the mean of its divisors is an integer number (328678463430).

Almost surely, 211131100331303 is an apocalyptic number.

11131100331303 is a deficient number, since it is larger than the sum of its proper divisors (4645465913337).

11131100331303 is a wasteful number, since it uses less digits than its factorization.

11131100331303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192228 (or 192187 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 11131100331303 its reverse (30313300113111), we get a palindrome (41444400444414).

The spelling of 11131100331303 in words is "eleven trillion, one hundred thirty-one billion, one hundred million, three hundred thirty-one thousand, three hundred three".

Divisors: 1 3 29 41 87 123 397 1189 1191 1681 3567 5043 11513 16277 34539 48749 48831 146247 191717 472033 575151 667357 1416099 2002071 5559793 7860397 16679379 19353353 23581191 58060059 76111649 227951513 228334947 322276277 683854539 966828831 2207237821 3120577609 6621713463 9346012033 9361732827 28038036099 90496750661 127943681969 271490251983 383831045907 3710366777101 11131100331303