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11314341400 = 235267384059
BaseRepresentation
bin10101000100110001…
…10010011000011000
31002012111221002120111
422202120302120120
5141132432411100
65110413334104
7550244213035
oct124230623030
932174832514
1011314341400
11488671817a
122239197334
1310b40a708b
1479493838c
154634826ba
hex2a2632618

11314341400 has 48 divisors (see below), whose sum is σ = 26345244600. Its totient is φ = 4518958080.

The previous prime is 11314341371. The next prime is 11314341403. The reversal of 11314341400 is 414341311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314341403) by changing a digit.

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, 92571 + ... + 176629.

Almost surely, 211314341400 is an apocalyptic number.

11314341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314341400 is an abundant number, since it is smaller than the sum of its proper divisors (15030903200).

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

11314341400 is a wasteful number, since it uses less digits than its factorization.

11314341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84748 (or 84739 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11314341400 its reverse (414341311), we get a palindrome (11728682711).

The spelling of 11314341400 in words is "eleven billion, three hundred fourteen million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 673 1346 2692 3365 5384 6730 13460 16825 26920 33650 67300 84059 134600 168118 336236 420295 672472 840590 1681180 2101475 3362360 4202950 8405900 16811800 56571707 113143414 226286828 282858535 452573656 565717070 1131434140 1414292675 2262868280 2828585350 5657170700 11314341400