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106022211629 is a prime number
BaseRepresentation
bin110001010111101101…
…0101001000000101101
3101010122212111101112212
41202233122221000231
53214113141233004
6120412251540205
710442220633545
oct1425732510055
9333585441485
10106022211629
1140a66857904
121866a75a665
139cc8384489
1451babb2325
152b57cad96e
hex18af6a902d

106022211629 has 2 divisors, whose sum is σ = 106022211630. Its totient is φ = 106022211628.

The previous prime is 106022211551. The next prime is 106022211643. The reversal of 106022211629 is 926112220601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88893422500 + 17128789129 = 298150^2 + 130877^2 .

It is an emirp because it is prime and its reverse (926112220601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106022211629 is a prime.

It is a super-2 number, since 2×1060222116292 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106022211595 and 106022211604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106022241629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53011105814 + 53011105815.

It is an arithmetic number, because the mean of its divisors is an integer number (53011105815).

Almost surely, 2106022211629 is an apocalyptic number.

It is an amenable number.

106022211629 is a deficient number, since it is larger than the sum of its proper divisors (1).

106022211629 is an equidigital number, since it uses as much as digits as its factorization.

106022211629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 106022211629 in words is "one hundred six billion, twenty-two million, two hundred eleven thousand, six hundred twenty-nine".