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31221314124 = 223721113371311
BaseRepresentation
bin11101000100111011…
…110111001001001100
32222120212102002101120
4131010323313021030
51002420124022444
622202021040540
72153456535300
oct350473671114
988525362346
1031221314124
1112271688450
126073b56150
132c3740cb90
141722725d00
15c2ae74b19
hex744ef724c

31221314124 has 144 divisors (see below), whose sum is σ = 99559143936. Its totient is φ = 7485609600.

The previous prime is 31221314099. The next prime is 31221314153. The reversal of 31221314124 is 42141312213.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31221314094 and 31221314103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101572 + ... + 269739.

It is an arithmetic number, because the mean of its divisors is an integer number (691382944).

Almost surely, 231221314124 is an apocalyptic number.

It is an amenable number.

31221314124 is an abundant number, since it is smaller than the sum of its proper divisors (68337829812).

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

31221314124 is a wasteful number, since it uses less digits than its factorization.

31221314124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371356 (or 371347 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 31221314124 its reverse (42141312213), we get a palindrome (73362626337).

The spelling of 31221314124 in words is "thirty-one billion, two hundred twenty-one million, three hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 371311 742622 1113933 1485244 2227866 2599177 4084421 4455732 4827043 5198354 7797531 8168842 9654086 10396708 12253263 14481129 15595062 16337684 18194239 19308172 24506526 28590947 28962258 31190124 33789301 36388478 49013052 53097473 54582717 57181894 57924516 67578602 72776956 85772841 101367903 106194946 109165434 114363788 135157204 159292419 171545682 200136629 202735806 212389892 218330868 236525107 318584838 343091364 371682311 400273258 405471612 473050214 600409887 637169676 709575321 743364622 800546516 946100428 1115046933 1200819774 1419150642 1486729244 2230093866 2401639548 2601776177 2838301284 4460187732 5203552354 7805328531 10407104708 15610657062 31221314124