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131224043034 = 236728345433
BaseRepresentation
bin111101000110110001…
…1111111111000011010
3110112201020012002000000
41322031203333320122
54122221323334114
6140141122353430
712323565650640
oct1721543777032
9415636162000
10131224043034
1150719607847
12215227bb876
13c4b3666756
1464cbc97190
15363054ce09
hex1e8d8ffe1a

131224043034 has 112 divisors (see below), whose sum is σ = 338478211392. Its totient is φ = 37359278784.

The previous prime is 131224043023. The next prime is 131224043177. The reversal of 131224043034 is 430340422131.

131224043034 is a `hidden beast` number, since 1 + 3 + 1 + 224 + 0 + 430 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131224042989 and 131224043007.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 2865582 + ... + 2911014.

Almost surely, 2131224043034 is an apocalyptic number.

131224043034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131224043034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169239105696).

131224043034 is an abundant number, since it is smaller than the sum of its proper divisors (207254168358).

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

131224043034 is an equidigital number, since it uses as much as digits as its factorization.

131224043034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45743 (or 45728 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131224043034 its reverse (430340422131), we get a palindrome (561564465165).

The spelling of 131224043034 in words is "one hundred thirty-one billion, two hundred twenty-four million, forty-three thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 283 378 486 566 567 729 849 1134 1458 1698 1701 1981 2547 3402 3962 5094 5103 5943 7641 10206 11886 15282 17829 22923 35658 45433 45846 53487 68769 90866 106974 136299 137538 160461 206307 272598 318031 320922 408897 412614 481383 636062 817794 954093 962766 1226691 1444149 1908186 2453382 2862279 2888298 3680073 5724558 7360146 8586837 11040219 12857539 17173674 22080438 25715078 25760511 33120657 38572617 51521022 66241314 77145234 77281533 90002773 115717851 154563066 180005546 231435702 231844599 270008319 347153553 463689198 540016638 694307106 810024957 1041460659 1620049914 2082921318 2430074871 3124381977 4860149742 6248763954 7290224613 9373145931 14580449226 18746291862 21870673839 43741347678 65612021517 131224043034