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122131320202211 = 19297910330239011
BaseRepresentation
bin11011110001001111101001…
…111101001110001111100011
3121000102122021200202100111112
4123301033221331032033203
5112001444420432432321
61111430204241333535
734503460653040505
oct3361175175161743
9530378250670445
10122131320202211
1135a0766932a631
1211845a500372ab
13531bc1b224cb8
14222328a487d75
15e1bdb1327a5b
hex6f13e9f4e3e3

122131320202211 has 64 divisors (see below), whose sum is σ = 136043421696000. Its totient is φ = 109180370033280.

The previous prime is 122131320202207. The next prime is 122131320202259. The reversal of 122131320202211 is 112202023131221.

It is a cyclic number.

It is not a de Polignac number, because 122131320202211 - 22 = 122131320202207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122131320202291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13553576696 + ... + 13553585706.

It is an arithmetic number, because the mean of its divisors is an integer number (2125678464000).

Almost surely, 2122131320202211 is an apocalyptic number.

122131320202211 is a deficient number, since it is larger than the sum of its proper divisors (13912101493789).

122131320202211 is a wasteful number, since it uses less digits than its factorization.

122131320202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12264.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 122131320202211 its reverse (112202023131221), we get a palindrome (234333343333432).

The spelling of 122131320202211 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, two hundred two thousand, two hundred eleven".

Divisors: 1 19 29 79 103 551 1501 1957 2291 2987 3023 8137 9011 43529 56753 57437 87667 154603 171209 235973 238817 261319 311369 711869 928133 1665673 4483487 4537523 4965061 5916011 6925693 9029701 13525511 17634527 20644201 24598151 26915857 27240253 73322507 131588167 171564319 392239819 467364869 511401283 517564807 713346379 789967337 1393127633 2126352703 2151979987 2805746059 13553581201 15009379403 40400701357 40887619753 53309175121 62407419623 81366635711 221653938661 1185740972837 1545966078509 4211424834559 6427964221169 122131320202211