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110001022201 = 73141432711061
BaseRepresentation
bin110011001110010010…
…0100110010011111001
3101111221011022220120101
41212130210212103321
53300240230202301
6122311143355401
710642633155430
oct1463444462371
9344834286511
10110001022201
1142718789104
121939b152b61
13a4b0797265
1454773ac117
152cdc24a701
hex199c9264f9

110001022201 has 64 divisors (see below), whose sum is σ = 136658092032. Its totient is φ = 86546880000.

The previous prime is 110001022199. The next prime is 110001022217. The reversal of 110001022201 is 102220100011.

It is not a de Polignac number, because 110001022201 - 21 = 110001022199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110001023201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 103676211 + ... + 103677271.

It is an arithmetic number, because the mean of its divisors is an integer number (2135282688).

Almost surely, 2110001022201 is an apocalyptic number.

It is an amenable number.

110001022201 is a deficient number, since it is larger than the sum of its proper divisors (26657069831).

110001022201 is a wasteful number, since it uses less digits than its factorization.

110001022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110001022201 its reverse (102220100011), we get a palindrome (212221122212).

It can be divided in two parts, 1100010 and 22201, that added together give a palindrome (1122211).

The spelling of 110001022201 in words is "one hundred ten billion, one million, twenty-two thousand, two hundred one".

Divisors: 1 7 31 41 43 217 271 287 301 1061 1271 1333 1763 1897 7427 8401 8897 9331 11111 11653 12341 32891 43501 45623 54653 58807 77777 81571 230237 287531 304507 319361 344441 361243 382571 477773 1348531 1414313 1870543 2012717 2411087 2528701 3344411 8913461 9439717 9900191 11788771 12363833 13093801 14810963 57986833 62394227 82521397 86546831 103676741 365451901 383278823 405907831 506917153 2558163307 2682951761 3548420071 15714431743 110001022201