Search a number
-
+
131201130323020 = 225191733199230313
BaseRepresentation
bin11101110101001110100100…
…110001000101110001001100
3122012112201001100121202102211
4131311032210301011301030
5114144044403330314040
61143012544525200204
736430653214043062
oct3565164461056114
9565481040552384
10131201130323020
11388940a572a77a
121286b7a9100064
1358292a10a9884
14245825087a032
151027c986098ea
hex7753a4c45c4c

131201130323020 has 48 divisors (see below), whose sum is σ = 290190906159840. Its totient is φ = 49689633655296.

The previous prime is 131201130323009. The next prime is 131201130323027. The reversal of 131201130323020 is 20323031102131.

It is a junction number, because it is equal to n+sod(n) for n = 131201130322982 and 131201130323000.

It is not an unprimeable number, because it can be changed into a prime (131201130323027) 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 15 ways as a sum of consecutive naturals, for example, 98956617 + ... + 100273696.

It is an arithmetic number, because the mean of its divisors is an integer number (6045643878330).

Almost surely, 2131201130323020 is an apocalyptic number.

131201130323020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201130323020 is an abundant number, since it is smaller than the sum of its proper divisors (158989775836820).

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

131201130323020 is a wasteful number, since it uses less digits than its factorization.

131201130323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199232074 (or 199232072 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131201130323020 its reverse (20323031102131), we get a palindrome (151524161425151).

The spelling of 131201130323020 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred thirty million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 1733 3466 6932 8665 17330 32927 34660 65854 131708 164635 329270 658540 199230313 398460626 796921252 996151565 1992303130 3785375947 3984606260 7570751894 15141503788 18926879735 37853759470 75707518940 345266132429 690532264858 1381064529716 1726330662145 3452661324290 6560056516151 6905322648580 13120113032302 26240226064604 32800282580755 65600565161510 131201130323020