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122621107321 = 1723113686919
BaseRepresentation
bin111001000110011001…
…0011001110001111001
3102201111200020122210101
41302030302121301321
54002112000413241
6132155323515401
711600444133466
oct1621462316171
9381450218711
10122621107321
1148004466919
121b921688b61
13b74223a74b
145d134c066d
1532ca154e31
hex1c8cc99c79

122621107321 has 12 divisors (see below), whose sum is σ = 134460302080. Its totient is φ = 111685250880.

The previous prime is 122621107237. The next prime is 122621107333. The reversal of 122621107321 is 123701126221.

It is not a de Polignac number, because 122621107321 - 221 = 122619010169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122621107321.

It is not an unprimeable number, because it can be changed into a prime (122621107361) 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 11 ways as a sum of consecutive naturals, for example, 6834501 + ... + 6852418.

Almost surely, 2122621107321 is an apocalyptic number.

It is an amenable number.

122621107321 is a deficient number, since it is larger than the sum of its proper divisors (11839194759).

122621107321 is a wasteful number, since it uses less digits than its factorization.

122621107321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13686984 (or 13686967 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 122621107321 in words is "one hundred twenty-two billion, six hundred twenty-one million, one hundred seven thousand, three hundred twenty-one".

Divisors: 1 17 31 289 527 8959 13686919 232677623 424294489 3955519591 7213006313 122621107321