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11343240400 = 245241691661
BaseRepresentation
bin10101001000001110…
…00001110011010000
31002021112022022112211
422210013001303100
5141212332143100
65113325001504
7551044644502
oct124407016320
932245268484
1011343240400
1148a0a66448
1222469b3294
1310ba084b8b
147986dbd72
15465c901ba
hex2a41c1cd0

11343240400 has 60 divisors (see below), whose sum is σ = 27916861644. Its totient is φ = 4426624000.

The previous prime is 11343240397. The next prime is 11343240413. The reversal of 11343240400 is 404234311.

It can be written as a sum of positive squares in 6 ways, for example, as 868127296 + 10475113104 = 29464^2 + 102348^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329431 + ... + 362230.

Almost surely, 211343240400 is an apocalyptic number.

11343240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11343240400 is an abundant number, since it is smaller than the sum of its proper divisors (16573621244).

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

11343240400 is a wasteful number, since it uses less digits than its factorization.

11343240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691720 (or 691709 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11343240400 its reverse (404234311), we get a palindrome (11747474711).

The spelling of 11343240400 in words is "eleven billion, three hundred forty-three million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 691661 1383322 2766644 3458305 5533288 6916610 11066576 13833220 17291525 27666440 28358101 34583050 55332880 56716202 69166100 113432404 138332200 141790505 226864808 276664400 283581010 453729616 567162020 708952525 1134324040 1417905050 2268648080 2835810100 5671620200 11343240400