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11344434100 = 2252113444341
BaseRepresentation
bin10101001000010111…
…00101001110110100
31002021121112221222221
422210023211032310
5141213133342400
65113410332124
7551061045616
oct124413451664
932247487887
1011344434100
1148a170127a
12224728a044
1310ba3b22cc
1479892cdb6
15465e28c1a
hex2a42e53b4

11344434100 has 18 divisors (see below), whose sum is σ = 24617422214. Its totient is φ = 4537773600.

The previous prime is 11344434083. The next prime is 11344434103. The reversal of 11344434100 is 143444311.

It can be written as a sum of positive squares in 3 ways, for example, as 2230295076 + 9114139024 = 47226^2 + 95468^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344434103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56722071 + ... + 56722270.

Almost surely, 211344434100 is an apocalyptic number.

11344434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11344434100 is an abundant number, since it is smaller than the sum of its proper divisors (13272988114).

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

11344434100 is a wasteful number, since it uses less digits than its factorization.

11344434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113444355 (or 113444348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11344434100 its reverse (143444311), we get a palindrome (11487878411).

The spelling of 11344434100 in words is "eleven billion, three hundred forty-four million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113444341 226888682 453777364 567221705 1134443410 2268886820 2836108525 5672217050 11344434100