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12400041401 = 112102479681
BaseRepresentation
bin10111000110001100…
…11001110110111001
31012000011212100222122
423203012121312321
5200343402311101
65410235531025
7616166420126
oct134306316671
935004770878
1012400041401
115293555700
1224a08b9a75
131227cbbc07
14858bd374d
154c894151b
hex2e3199db9

12400041401 has 6 divisors (see below), whose sum is σ = 13629797706. Its totient is φ = 11272764800.

The previous prime is 12400041373. The next prime is 12400041403. The reversal of 12400041401 is 10414000421.

It can be written as a sum of positive squares in only one way, i.e., 11478979600 + 921061801 = 107140^2 + 30349^2 .

It is not a de Polignac number, because 12400041401 - 26 = 12400041337 is a prime.

It is a super-2 number, since 2×124000414012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12400041401.

It is not an unprimeable number, because it can be changed into a prime (12400041403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51239720 + ... + 51239961.

It is an arithmetic number, because the mean of its divisors is an integer number (2271632951).

Almost surely, 212400041401 is an apocalyptic number.

12400041401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12400041401 is a deficient number, since it is larger than the sum of its proper divisors (1229756305).

12400041401 is a wasteful number, since it uses less digits than its factorization.

12400041401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102479703 (or 102479692 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12400041401 its reverse (10414000421), we get a palindrome (22814041822).

The spelling of 12400041401 in words is "twelve billion, four hundred million, forty-one thousand, four hundred one".

Divisors: 1 11 121 102479681 1127276491 12400041401