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11131320100 = 2252349318949
BaseRepresentation
bin10100101110111101…
…00111011100100100
31001201202112122112211
422113132213130210
5140244104220400
65040314453204
7542562442165
oct122736473444
931652478484
1011131320100
1147a23815aa
1221a7a34204
1310851b5c54
147784d576c
1545237ddba
hex2977a7724

11131320100 has 36 divisors (see below), whose sum is σ = 24224252500. Its totient is φ = 4439756160.

The previous prime is 11131320089. The next prime is 11131320113. The reversal of 11131320100 is 102313111.

It can be written as a sum of positive squares in 6 ways, for example, as 15413476 + 11115906624 = 3926^2 + 105432^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124575 + ... + 194374.

Almost surely, 211131320100 is an apocalyptic number.

11131320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131320100 is an abundant number, since it is smaller than the sum of its proper divisors (13092932400).

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

11131320100 is a wasteful number, since it uses less digits than its factorization.

11131320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319312 (or 319305 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11131320100 its reverse (102313111), we get a palindrome (11233633211).

The spelling of 11131320100 in words is "eleven billion, one hundred thirty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 349 698 1396 1745 3490 6980 8725 17450 34900 318949 637898 1275796 1594745 3189490 6378980 7973725 15947450 31894900 111313201 222626402 445252804 556566005 1113132010 2226264020 2782830025 5565660050 11131320100