Search a number
-
+
131100030 = 23251456667
BaseRepresentation
bin1111101000001…
…10110101111110
3100010200120102200
413310012311332
5232030200110
621001532330
73151221555
oct764066576
9303616380
10131100030
1168003436
1237aa40a6
13212123a9
14135a8d9c
15b7996c0
hex7d06d7e

131100030 has 24 divisors (see below), whose sum is σ = 340860312. Its totient is φ = 34959984.

The previous prime is 131100017. The next prime is 131100031. The reversal of 131100030 is 30001131.

It is a super-3 number, since 3×1311000303 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131099985 and 131100021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100031) 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, 728244 + ... + 728423.

It is an arithmetic number, because the mean of its divisors is an integer number (14202513).

Almost surely, 2131100030 is an apocalyptic number.

131100030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131100030 is an abundant number, since it is smaller than the sum of its proper divisors (209760282).

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

131100030 is a wasteful number, since it uses less digits than its factorization.

131100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456680 (or 1456677 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131100030 is about 11449.8921392300. The cubic root of 131100030 is about 508.0045440518.

Adding to 131100030 its reverse (30001131), we get a palindrome (161101161).

The spelling of 131100030 in words is "one hundred thirty-one million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1456667 2913334 4370001 7283335 8740002 13110003 14566670 21850005 26220006 43700010 65550015 131100030