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122003210249 is a prime number
BaseRepresentation
bin111000110011111110…
…1010100000000001001
3102122220121120020100122
41301213331110000021
53444330310211444
6132014132113025
711546232114344
oct1614775240011
9378817506318
10122003210249
11478176a4688
121b78a765775
13b67421698b
145c953d945b
153290c9e4ee
hex1c67f54009

122003210249 has 2 divisors, whose sum is σ = 122003210250. Its totient is φ = 122003210248.

The previous prime is 122003210213. The next prime is 122003210281. The reversal of 122003210249 is 942012300221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120325734400 + 1677475849 = 346880^2 + 40957^2 .

It is a cyclic number.

It is not a de Polignac number, because 122003210249 - 216 = 122003144713 is a prime.

It is a super-2 number, since 2×1220032102492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122003210449) 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 as a sum of consecutive naturals, namely, 61001605124 + 61001605125.

It is an arithmetic number, because the mean of its divisors is an integer number (61001605125).

Almost surely, 2122003210249 is an apocalyptic number.

It is an amenable number.

122003210249 is a deficient number, since it is larger than the sum of its proper divisors (1).

122003210249 is an equidigital number, since it uses as much as digits as its factorization.

122003210249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 122003210249 in words is "one hundred twenty-two billion, three million, two hundred ten thousand, two hundred forty-nine".