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131123223 = 327112103167
BaseRepresentation
bin1111101000011…
…00100000010111
3100010201202020200
413310030200113
5232031420343
621002231543
73151346310
oct764144027
9303652220
10131123223
1168019900
1237ab55b3
132121cb0a
14135b3607
15b7a14d3
hex7d0c817

131123223 has 72 divisors (see below), whose sum is σ = 241672704. Its totient is φ = 67050720.

The previous prime is 131123203. The next prime is 131123249. The reversal of 131123223 is 322321131.

It is not a de Polignac number, because 131123223 - 212 = 131119127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131123196 and 131123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123203) 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 71 ways as a sum of consecutive naturals, for example, 785086 + ... + 785252.

Almost surely, 2131123223 is an apocalyptic number.

131123223 is a deficient number, since it is larger than the sum of its proper divisors (110549481).

131123223 is a wasteful number, since it uses less digits than its factorization.

131123223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131123223 is about 11450.9048987405. The cubic root of 131123223 is about 508.0344994343.

Adding to 131123223 its reverse (322321131), we get a palindrome (453444354).

The spelling of 131123223 in words is "one hundred thirty-one million, one hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 103 121 167 231 309 363 501 693 721 847 927 1089 1133 1169 1503 1837 2163 2541 3399 3507 5511 6489 7623 7931 10197 10521 12463 12859 16533 17201 20207 23793 37389 38577 51603 60621 71379 87241 112167 115731 120407 141449 154809 181863 189211 261723 361221 424347 567633 785169 1083663 1273041 1324477 1702899 2081321 3973431 6243963 11920293 14569247 18731889 43707741 131123223