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12111003400 = 2352173350029
BaseRepresentation
bin10110100011101111…
…10011111100001000
31011021000222201101111
423101313303330020
5144300404102100
65321432500104
7606056554546
oct132167637410
934230881344
1012111003400
115155389121
12241bb4a634
1311b015b802
1482c674d96
154ad39a6ba
hex2d1df3f08

12111003400 has 48 divisors (see below), whose sum is σ = 28320927300. Its totient is φ = 4816385280.

The previous prime is 12111003391. The next prime is 12111003413. The reversal of 12111003400 is 430011121.

It can be written as a sum of positive squares in 6 ways, for example, as 4356792036 + 7754211364 = 66006^2 + 88058^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140415 + ... + 209614.

Almost surely, 212111003400 is an apocalyptic number.

12111003400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111003400 is an abundant number, since it is smaller than the sum of its proper divisors (16209923900).

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

12111003400 is a wasteful number, since it uses less digits than its factorization.

12111003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350218 (or 350209 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12111003400 its reverse (430011121), we get a palindrome (12541014521).

The spelling of 12111003400 in words is "twelve billion, one hundred eleven million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 8650 17300 34600 350029 700058 1400116 1750145 2800232 3500290 7000580 8750725 14001160 17501450 35002900 60555017 70005800 121110034 242220068 302775085 484440136 605550170 1211100340 1513875425 2422200680 3027750850 6055501700 12111003400