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11131120330 = 25112371092281
BaseRepresentation
bin10100101110111011…
…10110101011001010
31001201202011111111221
422113131312223022
5140244031322310
65040310312254
7542560650601
oct122735665312
931652144457
1011131120330
1147a2255500
1221a795868a
131085146045
14778482a38
1545233eada
hex297776aca

11131120330 has 96 divisors (see below), whose sum is σ = 22835791440. Its totient is φ = 3900441600.

The previous prime is 11131120321. The next prime is 11131120331. The reversal of 11131120330 is 3302113111.

11131120330 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8789625009 + 2341495321 = 93753^2 + 48389^2 .

It is not an unprimeable number, because it can be changed into a prime (11131120331) 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, 4878790 + ... + 4881070.

Almost surely, 211131120330 is an apocalyptic number.

11131120330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11131120330 is an abundant number, since it is smaller than the sum of its proper divisors (11704671110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131120330 is a wasteful number, since it uses less digits than its factorization.

11131120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11131120330 its reverse (3302113111), we get a palindrome (14433233441).

The spelling of 11131120330 in words is "eleven billion, one hundred thirty-one million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 37 55 74 109 110 121 185 218 242 370 407 545 605 814 1090 1199 1210 2035 2281 2398 4033 4070 4477 4562 5995 8066 8954 11405 11990 13189 20165 22385 22810 25091 26378 40330 44363 44770 50182 65945 84397 88726 125455 131890 168794 221815 248629 250910 276001 421985 443630 487993 497258 552002 843970 928367 975986 1243145 1380005 1856734 2439965 2486290 2734919 2760010 4641835 4879930 5469838 9199273 9283670 10212037 13674595 18398546 20424074 27349190 30084109 45996365 51060185 60168218 91992730 101192003 102120370 150420545 202384006 300841090 505960015 1011920030 1113112033 2226224066 5565560165 11131120330