Search a number
-
+
131034024132 = 2231123142930203
BaseRepresentation
bin111101000001000111…
…1001000100011000100
3110112012222122010001220
41322002033020203010
54121324202233012
6140110213520340
712316100553654
oct1720217104304
9415188563056
10131034024132
1150631321830
122148b0430b0
13c48319552b
1464b0952364
15361da1608c
hex1e823c88c4

131034024132 has 96 divisors (see below), whose sum is σ = 348298030080. Its totient is φ = 37953041280.

The previous prime is 131034024127. The next prime is 131034024137. The reversal of 131034024132 is 231420430131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131034024127) and next prime (131034024137).

It is not an unprimeable number, because it can be changed into a prime (131034024137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4323343 + ... + 4353545.

It is an arithmetic number, because the mean of its divisors is an integer number (3628104480).

Almost surely, 2131034024132 is an apocalyptic number.

131034024132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131034024132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174149015040).

131034024132 is an abundant number, since it is smaller than the sum of its proper divisors (217264005948).

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

131034024132 is a wasteful number, since it uses less digits than its factorization.

131034024132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31673 (or 31671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131034024132 its reverse (231420430131), we get a palindrome (362454454263).

The spelling of 131034024132 in words is "one hundred thirty-one billion, thirty-four million, twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1429 1518 2858 3036 4287 5716 8574 15719 17148 30203 31438 32867 47157 60406 62876 65734 90609 94314 98601 120812 131468 181218 188628 197202 332233 361537 362436 394404 664466 694669 723074 996699 1084611 1328932 1389338 1446148 1993398 2084007 2169222 2778676 3986796 4168014 4338444 7641359 8336028 15282718 22924077 30565436 43160087 45848154 86320174 91696308 129480261 172640348 258960522 474760957 517921044 949521914 992682001 1424282871 1899043828 1985364002 2848565742 2978046003 3970728004 5697131484 5956092006 10919502011 11912184012 21839004022 32758506033 43678008044 65517012066 131034024132