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11131434100 = 2252433257077
BaseRepresentation
bin10100101110111110…
…00011010001110100
31001201202202102221001
422113133003101310
5140244121342400
65040321133044
7542563425433
oct122737032164
931652672831
1011131434100
1147a244a216
1221a7a8a184
131085225ac7
1477852511a
154523a2a6a
hex2977c3474

11131434100 has 36 divisors (see below), whose sum is σ = 24211091884. Its totient is φ = 4442273280.

The previous prime is 11131434079. The next prime is 11131434103. The reversal of 11131434100 is 143413111.

It can be written as a sum of positive squares in 6 ways, for example, as 621903844 + 10509530256 = 24938^2 + 102516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131434103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85239 + ... + 171838.

Almost surely, 211131434100 is an apocalyptic number.

11131434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131434100 is an abundant number, since it is smaller than the sum of its proper divisors (13079657784).

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

11131434100 is a wasteful number, since it uses less digits than its factorization.

11131434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257524 (or 257517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11131434100 its reverse (143413111), we get a palindrome (11274847211).

The spelling of 11131434100 in words is "eleven billion, one hundred thirty-one million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 866 1732 2165 4330 8660 10825 21650 43300 257077 514154 1028308 1285385 2570770 5141540 6426925 12853850 25707700 111314341 222628682 445257364 556571705 1113143410 2226286820 2782858525 5565717050 11131434100