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11130301211331 = 343787951111527
BaseRepresentation
bin1010000111110111100110…
…1001100110001011000011
31110102001020211101001012110
42201331321221212023003
52424324324102230311
635401104554430403
72226065145203661
oct241757151461303
943361224331173
1011130301211331
11360137495a625
1212b9163432403
1362977682bb33
142a69d0a4bc31
151447d0bba8a6
hexa1f79a662c3

11130301211331 has 32 divisors (see below), whose sum is σ = 15207740551168. Its totient is φ = 7237039854240.

The previous prime is 11130301211287. The next prime is 11130301211369. The reversal of 11130301211331 is 13311210303111.

It is not a de Polignac number, because 11130301211331 - 217 = 11130301080259 is a prime.

It is a super-3 number, since 3×111303012113313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11130301211298 and 11130301211307.

It is not an unprimeable number, because it can be changed into a prime (11130301211231) 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 31 ways as a sum of consecutive naturals, for example, 965579490 + ... + 965591016.

It is an arithmetic number, because the mean of its divisors is an integer number (475241892224).

Almost surely, 211130301211331 is an apocalyptic number.

11130301211331 is a deficient number, since it is larger than the sum of its proper divisors (4077439339837).

11130301211331 is a wasteful number, since it uses less digits than its factorization.

11130301211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21871.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 11130301211331 its reverse (13311210303111), we get a palindrome (24441511514442).

The spelling of 11130301211331 in words is "eleven trillion, one hundred thirty billion, three hundred one million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 43 129 787 2361 9511 11527 28533 33841 34581 101523 408973 495661 1226919 1486983 7485157 9071749 22455471 27215247 109633297 321861751 328899891 390085207 965585253 1170255621 4714231771 14142695313 86281404739 258844214217 3710100403777 11130301211331