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312131310310222 = 213317192137102913
BaseRepresentation
bin100011011111000011011101…
…1110111111101001101001110
31111221011110110200112120222121
41012332012323313331031032
5311402424410414411342
63023503051110003154
7122513512562641264
oct10676067367751516
91457143420476877
10312131310310222
1190500166472967
122b0111803464ba
1310521b192a4000
145711343926434
1526143b966d067
hex11be1bbdfd34e

312131310310222 has 128 divisors (see below), whose sum is σ = 565565451292800. Its totient is φ = 128388967170048.

The previous prime is 312131310310163. The next prime is 312131310310231. The reversal of 312131310310222 is 222013013131213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3032911438 + ... + 3033014350.

It is an arithmetic number, because the mean of its divisors is an integer number (4418480088225).

Almost surely, 2312131310310222 is an apocalyptic number.

312131310310222 is a deficient number, since it is larger than the sum of its proper divisors (253434140982578).

312131310310222 is a wasteful number, since it uses less digits than its factorization.

312131310310222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105127 (or 105101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 312131310310222 its reverse (222013013131213), we get a palindrome (534144323441435).

The spelling of 312131310310222 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred ten million, three hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 13 17 19 26 34 38 169 221 247 323 338 442 494 646 2137 2197 2873 3211 4199 4274 4394 5746 6422 8398 27781 36329 37349 40603 41743 54587 55562 72658 74698 81206 83486 102913 109174 205826 361153 472277 527839 690251 709631 722306 944554 1055678 1337869 1380502 1419262 1749521 1955347 2675738 3499042 3910694 4694989 6139601 6861907 8973263 9389978 12279202 13723814 17392297 17946526 22743773 25419511 33240899 34784594 45487546 50839022 66481798 79814813 89204791 116652419 159629626 178409582 219925081 226099861 233304838 295669049 330453643 432131687 439850162 452199722 591338098 660907286 864263374 1516481447 2859026053 3032962894 3738726377 3843697637 4178576539 4295897359 5617711931 5718052106 7477452754 7687395274 8357153078 8591794718 11235423862 37167338689 48603442901 54321495007 71035801163 73030255103 74334677378 97206885802 108642990014 142071602326 146060510206 483175402957 631844757713 706179435091 923465415119 966350805914 1263689515426 1412358870182 1846930830238 8213981850269 9180332656183 12005050396547 16427963700538 18360665312366 24010100793094 156065655155111 312131310310222