Search a number
-
+
120429632797 = 4122939732309
BaseRepresentation
bin111000000101000101…
…0100101110100011101
3102111211221121012220021
41300022022211310131
53433114441222142
6131154040552141
711462233663105
oct1601212456435
9374757535807
10120429632797
114708a42a651
121b40b782651
13b483202766
145b86422205
1531eca6e267
hex1c0a2a5d1d

120429632797 has 16 divisors (see below), whose sum is σ = 124221610800. Its totient is φ = 116680988160.

The previous prime is 120429632783. The next prime is 120429632821. The reversal of 120429632797 is 797236924021.

It can be written as a sum of positive squares in 8 ways, for example, as 11779629156 + 108650003641 = 108534^2 + 329621^2 .

It is not a de Polignac number, because 120429632797 - 211 = 120429630749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120429632767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3711279 + ... + 3743587.

It is an arithmetic number, because the mean of its divisors is an integer number (7763850675).

Almost surely, 2120429632797 is an apocalyptic number.

It is an amenable number.

120429632797 is a deficient number, since it is larger than the sum of its proper divisors (3791978003).

120429632797 is a wasteful number, since it uses less digits than its factorization.

120429632797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32976.

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 120429632797 in words is "one hundred twenty billion, four hundred twenty-nine million, six hundred thirty-two thousand, seven hundred ninety-seven".

Divisors: 1 41 229 397 9389 16277 32309 90913 1324669 3727433 7398761 12826673 303349201 525893593 2937308117 120429632797