Search a number
-
+
12322220304104 = 23371391799291801
BaseRepresentation
bin1011001101001111110110…
…0100000110011011101000
31121121222210201102112102122
42303103331210012123220
53103341401344212404
642112425545250412
72411152051264514
oct263237544063350
947558721375378
1012322220304104
113a20908138497
121470166793a08
136b4c98bb6419
14308581c4b144
151657e12283be
hexb34fd9066e8

12322220304104 has 128 divisors (see below), whose sum is σ = 24072053040000. Its totient is φ = 5908565606400.

The previous prime is 12322220304101. The next prime is 12322220304167. The reversal of 12322220304104 is 40140302222321.

It is a super-2 number, since 2×123222203041042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12322220304101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6841876004 + ... + 6841877804.

It is an arithmetic number, because the mean of its divisors is an integer number (188062914375).

Almost surely, 212322220304104 is an apocalyptic number.

It is an amenable number.

12322220304104 is a deficient number, since it is larger than the sum of its proper divisors (11749832735896).

12322220304104 is a wasteful number, since it uses less digits than its factorization.

12322220304104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12322220304104 its reverse (40140302222321), we get a palindrome (52462522526425).

The spelling of 12322220304104 in words is "twelve trillion, three hundred twenty-two billion, two hundred twenty million, three hundred four thousand, one hundred four".

Divisors: 1 2 4 8 37 74 139 148 179 278 296 358 556 716 929 1112 1432 1801 1858 3602 3716 5143 6623 7204 7432 10286 13246 14408 20572 24881 26492 34373 41144 49762 52984 66637 68746 99524 129131 133274 137492 166291 199048 250339 258262 266548 274984 322379 332582 500678 516524 533096 644758 665164 920597 1001356 1033048 1289516 1330328 1673129 1841194 2002712 2579032 3346258 3682388 4777847 6152767 6692516 7364776 9262543 9555694 11928023 12305534 13385032 18525086 19111388 23114449 23856046 24611068 37050172 38222776 44810681 46228898 47712092 49222136 61905773 74100344 89621362 92457796 95424184 123811546 179242724 184915592 232564931 247623092 299490091 358485448 465129862 495246184 598980182 855234613 930259724 1197960364 1657995197 1710469226 1860519448 2395920728 3315990394 3420938452 6631980788 6841876904 8604902447 11081133367 13263961576 17209804894 22162266734 34419609788 41629122649 44324533468 68839219576 83258245298 88649066936 166516490596 333032981192 1540277538013 3080555076026 6161110152052 12322220304104