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103435640001 = 3211492848889
BaseRepresentation
bin110000001010100111…
…1101001110011000001
3100212222121101221022200
41200111033221303001
53143314010440001
6115303452423413
710321142301441
oct1402517516301
9325877357280
10103435640001
113a9597a4301
1218068477b69
1399a5533715
145013468121
152a55b82086
hex18153e9cc1

103435640001 has 6 divisors (see below), whose sum is σ = 149407035570. Its totient is φ = 68957093328.

The previous prime is 103435639999. The next prime is 103435640017. The reversal of 103435640001 is 100046534301.

103435640001 is a `hidden beast` number, since 10 + 3 + 4 + 3 + 5 + 640 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82771290000 + 20664350001 = 287700^2 + 143751^2 .

It is not a de Polignac number, because 103435640001 - 21 = 103435639999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103435640101) 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 5 ways as a sum of consecutive naturals, for example, 5746424436 + ... + 5746424453.

It is an arithmetic number, because the mean of its divisors is an integer number (24901172595).

Almost surely, 2103435640001 is an apocalyptic number.

It is an amenable number.

103435640001 is a deficient number, since it is larger than the sum of its proper divisors (45971395569).

103435640001 is a wasteful number, since it uses less digits than its factorization.

103435640001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11492848895 (or 11492848892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 103435640001 in words is "one hundred three billion, four hundred thirty-five million, six hundred forty thousand, one".

Divisors: 1 3 9 11492848889 34478546667 103435640001