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31434327105001 = 4340911981149183
BaseRepresentation
bin1110010010110110111111…
…11001101001110111101001
311010022002111022012011111021
413021123133321221313221
513110010000214330001
6150504421442532441
76423024633541462
oct711333771516751
9133262438164437
1031434327105001
11a01a250183407
123638224667121
131470323a2aa72
147a9602981d69
15397a2b89cba1
hex1c96dfe69de9

31434327105001 has 16 divisors (see below), whose sum is σ = 32246909291520. Its totient is φ = 30625465368960.

The previous prime is 31434327104969. The next prime is 31434327105031. The reversal of 31434327105001 is 10050172343413.

It is a cyclic number.

It is not a de Polignac number, because 31434327105001 - 25 = 31434327104969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31434327105031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210635256 + ... + 210784438.

It is an arithmetic number, because the mean of its divisors is an integer number (2015431830720).

Almost surely, 231434327105001 is an apocalyptic number.

It is an amenable number.

31434327105001 is a deficient number, since it is larger than the sum of its proper divisors (812582186519).

31434327105001 is a wasteful number, since it uses less digits than its factorization.

31434327105001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161616.

The product of its (nonzero) digits is 30240, while the sum is 34.

Adding to 31434327105001 its reverse (10050172343413), we get a palindrome (41484499448414).

The spelling of 31434327105001 in words is "thirty-one trillion, four hundred thirty-four billion, three hundred twenty-seven million, one hundred five thousand, one".

Divisors: 1 43 409 11981 17587 149183 515183 4900229 6414869 61015847 210709847 1787361523 2623681421 76856545489 731030862907 31434327105001