Search a number
-
+
107700700400141 is a prime number
BaseRepresentation
bin11000011111010000000101…
…111111010100101000001101
3112010100002022222200220202212
4120133100011333110220031
5103104032013300301031
61021021004013400205
731454055520425062
oct3037200577245015
9463302288626685
10107700700400141
1131353679696102
12100b514a799065
13481319505aa54
141c84a5538cc69
15c6b8207c712b
hex61f405fd4a0d

107700700400141 has 2 divisors, whose sum is σ = 107700700400142. Its totient is φ = 107700700400140.

The previous prime is 107700700400131. The next prime is 107700700400201. The reversal of 107700700400141 is 141004007007701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69712831035241 + 37987869364900 = 8349421^2 + 6163430^2 .

It is a cyclic number.

It is not a de Polignac number, because 107700700400141 - 242 = 103302653889037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107700700400098 and 107700700400107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107700700400131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53850350200070 + 53850350200071.

It is an arithmetic number, because the mean of its divisors is an integer number (53850350200071).

Almost surely, 2107700700400141 is an apocalyptic number.

It is an amenable number.

107700700400141 is a deficient number, since it is larger than the sum of its proper divisors (1).

107700700400141 is an equidigital number, since it uses as much as digits as its factorization.

107700700400141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5488, while the sum is 32.

Adding to 107700700400141 its reverse (141004007007701), we get a palindrome (248704707407842).

The spelling of 107700700400141 in words is "one hundred seven trillion, seven hundred billion, seven hundred million, four hundred thousand, one hundred forty-one".