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122000022019 = 2931197113931
BaseRepresentation
bin111000110011111000…
…1001001101000000011
3102122220101120020221001
41301213301021220003
53444324001201034
6132013535512431
711546163035251
oct1614761115003
9378811506831
10122000022019
1147815917287
121b789688717
13b67366b755
145c94c095d1
15329086ea14
hex1c67c49a03

122000022019 has 16 divisors (see below), whose sum is σ = 126752221440. Its totient is φ = 117285028000.

The previous prime is 122000021987. The next prime is 122000022071. The reversal of 122000022019 is 910220000221.

It is a cyclic number.

It is not a de Polignac number, because 122000022019 - 25 = 122000021987 is a prime.

It is a super-2 number, since 2×1220000220192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122000021987 and 122000022005.

It is not an unprimeable number, because it can be changed into a prime (122000922019) 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, 8750484 + ... + 8764414.

It is an arithmetic number, because the mean of its divisors is an integer number (7922013840).

Almost surely, 2122000022019 is an apocalyptic number.

122000022019 is a deficient number, since it is larger than the sum of its proper divisors (4752199421).

122000022019 is a wasteful number, since it uses less digits than its factorization.

122000022019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15242.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 122000022019 in words is "one hundred twenty-two billion, twenty-two thousand, nineteen".

Divisors: 1 29 311 971 9019 13931 28159 301981 403999 4332541 8757449 13527001 125643689 392283029 4206897311 122000022019