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122003321 = 1131357781
BaseRepresentation
bin1110100010110…
…01111101111001
322111120102002112
413101121331321
5222213101241
620034542105
73011003546
oct721317571
9274512075
10122003321
116295a9a0
1234a37935
131c378a1b
14122bbbcd
15aa9e1eb
hex7459f79

122003321 has 8 divisors (see below), whose sum is σ = 137388288. Its totient is φ = 107334000.

The previous prime is 122003317. The next prime is 122003359. The reversal of 122003321 is 123300221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122003321 - 22 = 122003317 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 122003296 and 122003305.

It is not an unprimeable number, because it can be changed into a prime (122003311) 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 7 ways as a sum of consecutive naturals, for example, 178550 + ... + 179231.

It is an arithmetic number, because the mean of its divisors is an integer number (17173536).

Almost surely, 2122003321 is an apocalyptic number.

122003321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122003321 is a deficient number, since it is larger than the sum of its proper divisors (15384967).

122003321 is a wasteful number, since it uses less digits than its factorization.

122003321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357823.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 122003321 is about 11045.5113507705. The cubic root of 122003321 is about 495.9720666393.

Adding to 122003321 its reverse (123300221), we get a palindrome (245303542).

The spelling of 122003321 in words is "one hundred twenty-two million, three thousand, three hundred twenty-one".

Divisors: 1 11 31 341 357781 3935591 11091211 122003321