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11200001344 = 26723571429
BaseRepresentation
bin10100110111001001…
…00111010101000000
31001220112210000111121
422123210213111000
5140414200020334
65051210522024
7544355304100
oct123344472500
931815700447
1011200001344
114828121864
122206a36314
1310964b243c
14783693200
154583e8db4
hex29b927540

11200001344 has 42 divisors (see below), whose sum is σ = 25853581770. Its totient is φ = 4799999232.

The previous prime is 11200001303. The next prime is 11200001357. The reversal of 11200001344 is 44310000211.

It can be written as a sum of positive squares in only one way, i.e., 10966278400 + 233722944 = 104720^2 + 15288^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1782579 + ... + 1788850.

Almost surely, 211200001344 is an apocalyptic number.

11200001344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11200001344 is an abundant number, since it is smaller than the sum of its proper divisors (14653580426).

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

11200001344 is an equidigital number, since it uses as much as digits as its factorization.

11200001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571455 (or 3571438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11200001344 its reverse (44310000211), we get a palindrome (55510001555).

The spelling of 11200001344 in words is "eleven billion, two hundred million, one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3571429 7142858 14285716 25000003 28571432 50000006 57142864 100000012 114285728 175000021 200000024 228571456 350000042 400000048 700000084 800000096 1400000168 1600000192 2800000336 5600000672 11200001344