Search a number
-
+
131203233 = 36723673
BaseRepresentation
bin1111101001000…
…00000010100001
3100010212211000000
413310200002201
5232042000413
621004050213
73152131500
oct764400241
9303784000
10131203233
1168073a27
1237b33969
132124a365
14135d4837
15b7ba073
hex7d200a1

131203233 has 42 divisors (see below), whose sum is σ = 228893874. Its totient is φ = 74952864.

The previous prime is 131203217. The next prime is 131203301. The reversal of 131203233 is 332302131.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 48902049 = 9072^2 + 6993^2 .

It is not a de Polignac number, because 131203233 - 24 = 131203217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131203213) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 33885 + ... + 37557.

Almost surely, 2131203233 is an apocalyptic number.

It is an amenable number.

131203233 is a deficient number, since it is larger than the sum of its proper divisors (97690641).

131203233 is an frugal number, since it uses more digits than its factorization.

131203233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131203233 is about 11454.3979763233. The cubic root of 131203233 is about 508.1378108452.

Adding to 131203233 its reverse (332302131), we get a palindrome (463505364).

The spelling of 131203233 in words is "one hundred thirty-one million, two hundred three thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3673 3969 5103 11019 11907 25711 33057 35721 77133 99171 179977 231399 297513 539931 694197 892539 1619793 2082591 2677617 4859379 6247773 14578137 18743319 43734411 131203233