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123131231223 = 37111321928737
BaseRepresentation
bin111001010101100110…
…0010111101111110111
3102202211020010122020020
41302223030113233313
54004133043344343
6132322105340223
711616210124260
oct1625314275767
9382736118206
10123131231223
1148246408520
121ba44497673
13b7c3b28900
145d6114d967
153309d1cb83
hex1cab317bf7

123131231223 has 144 divisors (see below), whose sum is σ = 233947996416. Its totient is φ = 55929968640.

The previous prime is 123131231219. The next prime is 123131231243. The reversal of 123131231223 is 322132131321.

It is not a de Polignac number, because 123131231223 - 22 = 123131231219 is a prime.

It is a super-2 number, since 2×1231312312232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123131231193 and 123131231202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131231243) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14088711 + ... + 14097447.

It is an arithmetic number, because the mean of its divisors is an integer number (1624638864).

Almost surely, 2123131231223 is an apocalyptic number.

123131231223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123131231223 is a deficient number, since it is larger than the sum of its proper divisors (110816765193).

123131231223 is a wasteful number, since it uses less digits than its factorization.

123131231223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8790 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 123131231223 its reverse (322132131321), we get a palindrome (445263362544).

The spelling of 123131231223 in words is "one hundred twenty-three billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 169 209 231 247 273 361 399 429 507 627 741 1001 1083 1183 1463 1729 1859 2527 2717 3003 3211 3549 3971 4389 4693 5187 5577 7581 8151 8737 9633 11913 13013 14079 19019 22477 26211 27797 32851 35321 39039 51623 57057 61009 61159 67431 83391 96107 98553 105963 113581 154869 166003 183027 183477 247247 288321 340743 361361 427063 498009 671099 672749 741741 795067 1084083 1162021 1249391 1281189 1476553 1826033 2013297 2018247 2158039 2385201 3154057 3486063 3748173 4429659 4697693 5478099 6474117 8745737 9462171 10335871 12782231 14093079 15106273 16242083 22078399 23738429 26237211 28054507 31007613 34694627 38346693 41002741 45318819 48726249 66235197 71215287 84163521 104083881 113694581 123008223 166169003 196381549 242862389 287019187 308599577 341083743 451030151 498507009 533035633 589144647 728587167 861057561 925798731 1353090453 1599106899 2160197039 3157211057 3731249431 5863391963 6480591117 9471633171 11193748293 17590175889 41043743741 123131231223