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11200400003 = 13171918114737
BaseRepresentation
bin10100110111001100…
…01000101010000011
31001220120112021100202
422123212020222003
5140414300300003
65051223235415
7544361554262
oct123346105203
931816467322
1011200400003
114828374331
122206ba8b6b
1310965c1a30
147837585d9
15458477088
hex29b988a83

11200400003 has 32 divisors (see below), whose sum is σ = 13518872640. Its totient is φ = 9166970880.

The previous prime is 11200399979. The next prime is 11200400027. The reversal of 11200400003 is 30000400211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11200399979) and next prime (11200400027).

It is a cyclic number.

It is not a de Polignac number, because 11200400003 - 218 = 11200137859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11200400063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752651 + ... + 767387.

It is an arithmetic number, because the mean of its divisors is an integer number (422464770).

Almost surely, 211200400003 is an apocalyptic number.

11200400003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11200400003 is a deficient number, since it is larger than the sum of its proper divisors (2318472637).

11200400003 is a wasteful number, since it uses less digits than its factorization.

11200400003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14967.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11200400003 its reverse (30000400211), we get a palindrome (41200800214).

The spelling of 11200400003 in words is "eleven billion, two hundred million, four hundred thousand, three".

Divisors: 1 13 17 19 181 221 247 323 2353 3077 3439 4199 14737 40001 44707 58463 191581 250529 280003 760019 2667397 3256877 3640039 4760051 34676161 45345749 50680543 61880663 589494737 658847059 861569231 11200400003