Search a number
-
+
131043112020 = 22325728017289
BaseRepresentation
bin111101000001011000…
…1110011010001010100
3110112020121201211022100
41322002301303101110
54121334014041040
6140111140402100
712316241034162
oct1720261632124
9415217654270
10131043112020
1150636469687
12214920a6330
13c485027b92
1464b1c3a232
15361e70db30
hex1e82c73454

131043112020 has 36 divisors (see below), whose sum is σ = 397497440340. Its totient is φ = 34944829824.

The previous prime is 131043111989. The next prime is 131043112027. The reversal of 131043112020 is 20211340131.

131043112020 is a `hidden beast` number, since 1 + 31 + 0 + 431 + 1 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66607351056 + 64435760964 = 258084^2 + 253842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 131043111984 and 131043112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131043112027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364008465 + ... + 364008824.

It is an arithmetic number, because the mean of its divisors is an integer number (11041595565).

Almost surely, 2131043112020 is an apocalyptic number.

131043112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131043112020 is an abundant number, since it is smaller than the sum of its proper divisors (266454328320).

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

131043112020 is a wasteful number, since it uses less digits than its factorization.

131043112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728017304 (or 728017299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131043112020 its reverse (20211340131), we get a palindrome (151254452151).

The spelling of 131043112020 in words is "one hundred thirty-one billion, forty-three million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 728017289 1456034578 2184051867 2912069156 3640086445 4368103734 6552155601 7280172890 8736207468 10920259335 13104311202 14560345780 21840518670 26208622404 32760778005 43681037340 65521556010 131043112020