Search a number
-
+
131133223 = 13175989113
BaseRepresentation
bin1111101000011…
…10111100100111
3100010202020222001
413310032330213
5232032230343
621002350131
73151420414
oct764167447
9303666861
10131133223
1168026371
1237abb347
1321224530
14135b710b
15b7a444d
hex7d0ef27

131133223 has 32 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 109756416.

The previous prime is 131133221. The next prime is 131133241. The reversal of 131133223 is 322331131.

It is a cyclic number.

It is not a de Polignac number, because 131133223 - 21 = 131133221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131133223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133221) 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, 1160415 + ... + 1160527.

It is an arithmetic number, because the mean of its divisors is an integer number (4847850).

Almost surely, 2131133223 is an apocalyptic number.

131133223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131133223 is a deficient number, since it is larger than the sum of its proper divisors (23997977).

131133223 is a wasteful number, since it uses less digits than its factorization.

131133223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its digits is 324, while the sum is 19.

The square root of 131133223 is about 11451.3415371300. The cubic root of 131133223 is about 508.0474140443.

Adding to 131133223 its reverse (322331131), we get a palindrome (453464354).

The spelling of 131133223 in words is "one hundred thirty-one million, one hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 13 17 59 89 113 221 767 1003 1157 1469 1513 1921 5251 6667 10057 13039 19669 24973 68263 86671 89267 113339 130741 170969 593363 1160471 1473407 2222597 7713719 10087171 131133223