Search a number
-
+
131102020 = 22571396737
BaseRepresentation
bin1111101000001…
…11010101000100
3100010200200011101
413310013111010
5232030231040
621001545444
73151230430
oct764072504
9303620141
10131102020
1168004985
1237aa5284
132121327a
14135a99c0
15b79a09a
hex7d07544

131102020 has 48 divisors (see below), whose sum is σ = 316955520. Its totient is φ = 44619264.

The previous prime is 131102017. The next prime is 131102021. The reversal of 131102020 is 20201131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 131101988 and 131102006.

It is not an unprimeable number, because it can be changed into a prime (131102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16092 + ... + 22828.

It is an arithmetic number, because the mean of its divisors is an integer number (6603240).

Almost surely, 2131102020 is an apocalyptic number.

131102020 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 131102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158477760).

131102020 is an abundant number, since it is smaller than the sum of its proper divisors (185853500).

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

131102020 is a wasteful number, since it uses less digits than its factorization.

131102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131102020 is about 11449.9790392821. The cubic root of 131102020 is about 508.0071144146.

Adding to 131102020 its reverse (20201131), we get a palindrome (151303151).

The spelling of 131102020 in words is "one hundred thirty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 6737 9730 13474 19460 26948 33685 47159 67370 94318 134740 188636 235795 471590 936443 943180 1872886 3745772 4682215 6555101 9364430 13110202 18728860 26220404 32775505 65551010 131102020