Search a number
-
+
120311131132313 = 1159240007772391
BaseRepresentation
bin11011010110110000011110…
…001110111101000110011001
3120202222122001120220011122022
4123112300132032331012121
5111232134144032213223
61103514100504504225
734225122662160362
oct3326603616750631
9522878046804568
10120311131132313
1135375734023a10
12115b112a47b075
1352193a23a6bb4
14219d138658b69
15dd987e157ac8
hex6d6c1e3bd199

120311131132313 has 16 divisors (see below), whose sum is σ = 133473786577920. Its totient is φ = 107519375917200.

The previous prime is 120311131132133. The next prime is 120311131132319. The reversal of 120311131132313 is 313231131113021.

It is a cyclic number.

It is not a de Polignac number, because 120311131132313 - 232 = 120306836165017 is a prime.

It is a super-2 number, since 2×1203111311323132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120311131132319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155378348 + ... + 156150738.

It is an arithmetic number, because the mean of its divisors is an integer number (8342111661120).

Almost surely, 2120311131132313 is an apocalyptic number.

It is an amenable number.

120311131132313 is a deficient number, since it is larger than the sum of its proper divisors (13162655445607).

120311131132313 is a wasteful number, since it uses less digits than its factorization.

120311131132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012468.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 120311131132313 its reverse (313231131113021), we get a palindrome (433542262245334).

The spelling of 120311131132313 in words is "one hundred twenty trillion, three hundred eleven billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 11 59 649 240007 772391 2640077 8496301 14160413 45571069 155764543 501281759 185379246737 2039171714107 10937375557483 120311131132313