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2122210022129 is a prime number
BaseRepresentation
bin11110111000011101100…
…100110001001011110001
321111212210110120012212222
4132320131210301023301
5234232241231202004
64302532501530425
7306216225360461
oct36703544611361
97455713505788
102122210022129
1174902a26027a
122a336ba13a15
1312517b57ba32
1474a03521ba1
153a30bece7be
hex1ee1d9312f1

2122210022129 has 2 divisors, whose sum is σ = 2122210022130. Its totient is φ = 2122210022128.

The previous prime is 2122210022089. The next prime is 2122210022147. The reversal of 2122210022129 is 9212200122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2099716921600 + 22493100529 = 1449040^2 + 149977^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122210022129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122210022098 and 2122210022107.

It is not a weakly prime, because it can be changed into another prime (2122210022029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061105011064 + 1061105011065.

It is an arithmetic number, because the mean of its divisors is an integer number (1061105011065).

Almost surely, 22122210022129 is an apocalyptic number.

It is an amenable number.

2122210022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122210022129 is an equidigital number, since it uses as much as digits as its factorization.

2122210022129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2122210022129 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, twenty-two thousand, one hundred twenty-nine".