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131024242128 = 24313209974747
BaseRepresentation
bin111101000000110100…
…1110100010111010000
3110112012022020010200110
41322001221310113100
54121314201222003
6140105224121320
712315621453003
oct1720151642720
9415168203613
10131024242128
115062685042a
1221487906240
13c48114bc70
1464ad52753a
15361cc32a03
hex1e81a745d0

131024242128 has 40 divisors (see below), whose sum is σ = 364516162528. Its totient is φ = 40315151232.

The previous prime is 131024242127. The next prime is 131024242177. The reversal of 131024242128 is 821242420131.

It is a junction number, because it is equal to n+sod(n) for n = 131024242095 and 131024242104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131024242127) 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 7 ways as a sum of consecutive naturals, for example, 104986750 + ... + 104987997.

Almost surely, 2131024242128 is an apocalyptic number.

It is an amenable number.

131024242128 is an abundant number, since it is smaller than the sum of its proper divisors (233491920400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131024242128 is a wasteful number, since it uses less digits than its factorization.

131024242128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209974771 (or 209974765 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 131024242128 its reverse (821242420131), we get a palindrome (952266662259).

The spelling of 131024242128 in words is "one hundred thirty-one billion, twenty-four million, two hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 209974747 419949494 629924241 839898988 1259848482 1679797976 2519696964 2729671711 3359595952 5039393928 5459343422 8189015133 10078787856 10918686844 16378030266 21837373688 32756060532 43674747376 65512121064 131024242128