Search a number
-
+
131300002020 = 2235112310185639
BaseRepresentation
bin111101001001000010…
…1110000100011100100
3110112220112010012010210
41322102011300203210
54122400300031040
6140152434415420
712325510413465
oct1722205604344
9415815105123
10131300002020
1150758478970
1221544131570
13c4c63106b5
1464d7dcad6c
153637054480
hex1e921708e4

131300002020 has 192 divisors, whose sum is σ = 422647787520. Its totient is φ = 30144576000.

The previous prime is 131300001979. The next prime is 131300002051. The reversal of 131300002020 is 20200003131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131300001987 and 131300002005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490361 + ... + 1575999.

It is an arithmetic number, because the mean of its divisors is an integer number (2201290560).

Almost surely, 2131300002020 is an apocalyptic number.

131300002020 is a gapful number since it is divisible by the number (10) 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 131300002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211323893760).

131300002020 is an abundant number, since it is smaller than the sum of its proper divisors (291347785500).

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

131300002020 is a wasteful number, since it uses less digits than its factorization.

131300002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85786 (or 85784 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 131300002020 its reverse (20200003131), we get a palindrome (151500005151).

The spelling of 131300002020 in words is "one hundred thirty-one billion, three hundred million, two thousand, twenty".