Search a number
-
+
120343371540217 = 7376113275740129
BaseRepresentation
bin11011010111001110011111…
…111010010110011011111001
3120210002201021110220120212221
4123113032133322112123321
5111233201211103241332
61103540552012404041
734230343635132610
oct3327163772263371
9523081243816787
10120343371540217
1135388378986621
12115b7427776621
13521c43c97aa37
1421a091645c877
15dda6197d1297
hex6d739fe966f9

120343371540217 has 32 divisors (see below), whose sum is σ = 143676280478720. Its totient is φ = 98643870074880.

The previous prime is 120343371540167. The next prime is 120343371540221. The reversal of 120343371540217 is 712045173343021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120343371540217 - 227 = 120343237322489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120343371540277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18095209 + ... + 23835337.

It is an arithmetic number, because the mean of its divisors is an integer number (4489883764960).

Almost surely, 2120343371540217 is an apocalyptic number.

It is an amenable number.

120343371540217 is a deficient number, since it is larger than the sum of its proper divisors (23332908938503).

120343371540217 is a wasteful number, since it uses less digits than its factorization.

120343371540217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741561.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 120343371540217 in words is "one hundred twenty trillion, three hundred forty-three billion, three hundred seventy-one million, five hundred forty thousand, two hundred seventeen".

Divisors: 1 7 37 61 259 427 1327 2257 9289 15799 49099 80947 343693 566629 2995039 5740129 20965273 40180903 212384773 350147869 1486693411 2451035083 7617151183 12955471153 53320058281 90688298071 281834593771 464646222163 1972842156397 3252523555141 17191910220031 120343371540217