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1031805734129 is a prime number
BaseRepresentation
bin11110000001111000110…
…10100000110011110001
310122122021022112010101222
433000330122200303301
5113401114231443004
62110001025434425
7134355052013612
oct17007432406361
93578238463358
101031805734129
1136864a48a785
12147b7979ba15
13763b67aa971
1437d2261bc09
151bc8db7c7be
hexf03c6a0cf1

1031805734129 has 2 divisors, whose sum is σ = 1031805734130. Its totient is φ = 1031805734128.

The previous prime is 1031805734081. The next prime is 1031805734137. The reversal of 1031805734129 is 9214375081301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 947017029904 + 84788704225 = 973148^2 + 291185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1031805734129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1031805734129.

It is not a weakly prime, because it can be changed into another prime (1031805734189) 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 as a sum of consecutive naturals, namely, 515902867064 + 515902867065.

It is an arithmetic number, because the mean of its divisors is an integer number (515902867065).

Almost surely, 21031805734129 is an apocalyptic number.

It is an amenable number.

1031805734129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031805734129 is an equidigital number, since it uses as much as digits as its factorization.

1031805734129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 1031805734129 in words is "one trillion, thirty-one billion, eight hundred five million, seven hundred thirty-four thousand, one hundred twenty-nine".