Search a number
-
+
131023101 = 31173137397
BaseRepresentation
bin1111100111101…
…00000011111101
3100010112122220110
413303310003331
5232020214401
621000140233
73150451356
oct763640375
9303478813
10131023101
1167a60660
1237a67679
13211b6381
1413588d2d
15b7819d6
hex7cf40fd

131023101 has 32 divisors (see below), whose sum is σ = 195090048. Its totient is φ = 77552640.

The previous prime is 131023091. The next prime is 131023103. The reversal of 131023101 is 101320131.

It is not a de Polignac number, because 131023101 - 215 = 130990333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023103) 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 31 ways as a sum of consecutive naturals, for example, 329835 + ... + 330231.

It is an arithmetic number, because the mean of its divisors is an integer number (6096564).

Almost surely, 2131023101 is an apocalyptic number.

131023101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131023101 is a deficient number, since it is larger than the sum of its proper divisors (64066947).

131023101 is a wasteful number, since it uses less digits than its factorization.

131023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131023101 is about 11446.5322696439. The cubic root of 131023101 is about 507.9051595637.

Adding to 131023101 its reverse (101320131), we get a palindrome (232343232).

The spelling of 131023101 in words is "one hundred thirty-one million, twenty-three thousand, one hundred one".

Divisors: 1 3 11 33 73 137 219 397 411 803 1191 1507 2409 4367 4521 10001 13101 28981 30003 54389 86943 110011 163167 318791 330033 598279 956373 1794837 3970397 11911191 43674367 131023101