Search a number
-
+
131053235144 = 231317239331937
BaseRepresentation
bin111101000001101100…
…0011010101111001000
3110112021022210010121212
41322003120122233020
54121344112011034
6140112141352252
712316423055516
oct1720330325710
9415238703555
10131053235144
11506411532a7
1221495568688
13c4871607b0
1464b33134b6
15362055d2ce
hex1e8361abc8

131053235144 has 128 divisors (see below), whose sum is σ = 282516595200. Its totient is φ = 56458321920.

The previous prime is 131053235143. The next prime is 131053235153. The reversal of 131053235144 is 441532350131.

It is a self number, because there is not a number n which added to its sum of digits gives 131053235144.

It is not an unprimeable number, because it can be changed into a prime (131053235143) 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, 139864244 + ... + 139865180.

It is an arithmetic number, because the mean of its divisors is an integer number (2207160900).

Almost surely, 2131053235144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131053235144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141258297600).

131053235144 is an abundant number, since it is smaller than the sum of its proper divisors (151463360056).

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

131053235144 is a wasteful number, since it uses less digits than its factorization.

131053235144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 131053235144 its reverse (441532350131), we get a palindrome (572585585275).

The spelling of 131053235144 in words is "one hundred thirty-one billion, fifty-three million, two hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 239 331 442 478 662 884 937 956 1324 1768 1874 1912 2648 3107 3748 4063 4303 5627 6214 7496 8126 8606 11254 12181 12428 15929 16252 17212 22508 24362 24856 31858 32504 34424 45016 48724 52819 63716 73151 79109 97448 105638 127432 146302 158218 207077 211276 223943 292604 310147 316436 414154 422552 447886 585208 620294 632872 828308 895772 1028417 1240588 1344853 1656616 1791544 2056834 2481176 2689706 2911259 3807031 4031911 4113668 5272499 5379412 5822518 7614062 8063822 8227336 10544998 10758824 11645036 15228124 16127644 17483089 21089996 23290072 30456248 32255288 34966178 42179992 49491403 68542487 69932356 74125133 98982806 137084974 139864712 148250266 197965612 274169948 296500532 395931224 548339896 593001064 963626729 1260127261 1927253458 2520254522 3854506916 5040509044 7709013832 10081018088 16381654393 32763308786 65526617572 131053235144