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120333122201 = 17241284310331
BaseRepresentation
bin111000000010001101…
…0011011101010011001
3102111121012222222020202
41300010122123222121
53432420234402301
6131140312231545
711456652443105
oct1600432335231
9374535888222
10120333122201
114703aa01826
121b3a339b5b5
13b4692112b6
145b7769c905
1531e435866b
hex1c0469ba99

120333122201 has 16 divisors (see below), whose sum is σ = 127997610048. Its totient is φ = 112734182400.

The previous prime is 120333122179. The next prime is 120333122207. The reversal of 120333122201 is 102221333021.

It is a cyclic number.

It is not a de Polignac number, because 120333122201 - 214 = 120333105817 is a prime.

It is a super-3 number, since 3×1203331222013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120333122207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11642606 + ... + 11652936.

It is an arithmetic number, because the mean of its divisors is an integer number (7999850628).

Almost surely, 2120333122201 is an apocalyptic number.

It is an amenable number.

120333122201 is a deficient number, since it is larger than the sum of its proper divisors (7664487847).

120333122201 is a wasteful number, since it uses less digits than its factorization.

120333122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120333122201 its reverse (102221333021), we get a palindrome (222554455222).

The spelling of 120333122201 in words is "one hundred twenty billion, three hundred thirty-three million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 17 241 2843 4097 10331 48331 175627 685163 2489771 11647771 29371033 42326107 499307561 7078418953 120333122201