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103112400141 = 3359577112181
BaseRepresentation
bin110000000000111111…
…0100101110100001101
3100212011002011122121000
41200001332211310031
53142133233301031
6115211424330513
710310135640252
oct1400176456415
9325132148530
10103112400141
113a803297423
1217b98173a39
13995358992a
144dc2565429
152a375d23e6
hex1801fa5d0d

103112400141 has 32 divisors (see below), whose sum is σ = 155618870400. Its totient is φ = 67458769920.

The previous prime is 103112400121. The next prime is 103112400143. The reversal of 103112400141 is 141004211301.

103112400141 is a `hidden beast` number, since 10 + 3 + 112 + 400 + 141 = 666.

It is not a de Polignac number, because 103112400141 - 29 = 103112399629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112400143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863071 + ... + 975251.

It is an arithmetic number, because the mean of its divisors is an integer number (4863089700).

Almost surely, 2103112400141 is an apocalyptic number.

It is an amenable number.

103112400141 is a deficient number, since it is larger than the sum of its proper divisors (52506470259).

103112400141 is a wasteful number, since it uses less digits than its factorization.

103112400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112826 (or 112820 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 103112400141 its reverse (141004211301), we get a palindrome (244116611442).

The spelling of 103112400141 in words is "one hundred three billion, one hundred twelve million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 9 27 59 177 531 577 1593 1731 5193 15579 34043 102129 112181 306387 336543 919161 1009629 3028887 6618679 19856037 59568111 64728437 178704333 194185311 582555933 1747667799 3818977783 11456933349 34370800047 103112400141