Search a number
-
+
131301210132 = 2232171433149717
BaseRepresentation
bin111101001001000101…
…0010111100000010100
3110112220121101120100200
41322102022113200110
54122401102211012
6140152520340500
712325523604621
oct1722212274024
9415817346320
10131301210132
1150759123604
1221544614730
13c4c6644561
1464d8223348
1536371e23dc
hex1e92297814

131301210132 has 72 divisors (see below), whose sum is σ = 351671412456. Its totient is φ = 41163515904.

The previous prime is 131301210127. The next prime is 131301210137. The reversal of 131301210132 is 231012103131.

It is an interprime number because it is at equal distance from previous prime (131301210127) and next prime (131301210137).

It can be written as a sum of positive squares in 4 ways, for example, as 15854839056 + 115446371076 = 125916^2 + 339774^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301210137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802138 + ... + 951854.

It is an arithmetic number, because the mean of its divisors is an integer number (4884325173).

Almost surely, 2131301210132 is an apocalyptic number.

131301210132 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 131301210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175835706228).

131301210132 is an abundant number, since it is smaller than the sum of its proper divisors (220370202324).

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

131301210132 is a wasteful number, since it uses less digits than its factorization.

131301210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151177 (or 151172 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131301210132 its reverse (231012103131), we get a palindrome (362313313263).

The spelling of 131301210132 in words is "one hundred thirty-one billion, three hundred one million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1433 2866 4299 5732 8598 12897 17196 24361 25794 48722 51588 73083 97444 146166 149717 219249 292332 299434 438498 449151 598868 876996 898302 1347453 1796604 2545189 2694906 5090378 5389812 7635567 10180756 15271134 22906701 30542268 45813402 91626804 214544461 429088922 643633383 858177844 1287266766 1930900149 2574533532 3647255837 3861800298 7294511674 7723600596 10941767511 14589023348 21883535022 32825302533 43767070044 65650605066 131301210132