Search a number
-
+
131431242558 = 23711743338273
BaseRepresentation
bin111101001100111101…
…0011001101100111110
3110120020200001220022110
41322121322121230332
54123132344230213
6140213443354450
712331663062120
oct1723172315476
9416220056273
10131431242558
1150815567920
1221580082a26
13c517571a15
14650b5d1210
15364382a5c3
hex1e99e99b3e

131431242558 has 64 divisors (see below), whose sum is σ = 327777311232. Its totient is φ = 34132500480.

The previous prime is 131431242493. The next prime is 131431242559. The reversal of 131431242558 is 855242134131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131431242559) 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 in 31 ways as a sum of consecutive naturals, for example, 3414910 + ... + 3453182.

It is an arithmetic number, because the mean of its divisors is an integer number (5121520488).

Almost surely, 2131431242558 is an apocalyptic number.

131431242558 is an abundant number, since it is smaller than the sum of its proper divisors (196346068674).

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

131431242558 is a wasteful number, since it uses less digits than its factorization.

131431242558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45729.

The product of its digits is 115200, while the sum is 39.

Adding to 131431242558 its reverse (855242134131), we get a palindrome (986673376689).

The spelling of 131431242558 in words is "one hundred thirty-one billion, four hundred thirty-one million, two hundred forty-two thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 7433 14866 22299 38273 44598 52031 76546 81763 104062 114819 156093 163526 229638 245289 267911 312186 421003 490578 535822 572341 803733 842006 1144682 1263009 1607466 1717023 2526018 2947021 3434046 5894042 8841063 17682126 284483209 568966418 853449627 1706899254 1991382463 3129315299 3982764926 5974147389 6258630598 9387945897 11948294778 18775891794 21905207093 43810414186 65715621279 131431242558