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122141147001 = 31719791210169
BaseRepresentation
bin111000111000000101…
…1011111111101111001
3102200021020010011000020
41301300023133331321
54000121113201001
6132035540401053
711552525422326
oct1616013377571
9380236104006
10122141147001
11478885475a5
121b8089a6189
13b696980b63
145ca9863b4d
15329ce49736
hex1c702dff79

122141147001 has 16 divisors (see below), whose sum is σ = 172521835200. Its totient is φ = 76598793728.

The previous prime is 122141146951. The next prime is 122141147017. The reversal of 122141147001 is 100741141221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122141147001 - 222 = 122136952697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122141147021) 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 15 ways as a sum of consecutive naturals, for example, 504156 + ... + 706013.

It is an arithmetic number, because the mean of its divisors is an integer number (10782614700).

Almost surely, 2122141147001 is an apocalyptic number.

It is an amenable number.

122141147001 is a deficient number, since it is larger than the sum of its proper divisors (50380688199).

122141147001 is a wasteful number, since it uses less digits than its factorization.

122141147001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212168.

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 122141147001 its reverse (100741141221), we get a palindrome (222882288222).

The spelling of 122141147001 in words is "one hundred twenty-two billion, one hundred forty-one million, one hundred forty-seven thousand, one".

Divisors: 1 3 17 51 1979 5937 33643 100929 1210169 3630507 20572873 61718619 2394924451 7184773353 40713715667 122141147001