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106226061629 is a prime number
BaseRepresentation
bin110001011101110010…
…0010001000100111101
3101011012002002001011212
41202323210101010331
53220022332433004
6120444413054205
710450244424452
oct1427344210475
9334162061155
10106226061629
114106092a386
1218706a87365
13a02b688c8c
1451d9cb7829
152b6ab2896e
hex18bb91113d

106226061629 has 2 divisors, whose sum is σ = 106226061630. Its totient is φ = 106226061628.

The previous prime is 106226061587. The next prime is 106226061649. The reversal of 106226061629 is 926160622601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104972760025 + 1253301604 = 323995^2 + 35402^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106226061629 is a prime.

It is a super-2 number, since 2×1062260616292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106226061649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53113030814 + 53113030815.

It is an arithmetic number, because the mean of its divisors is an integer number (53113030815).

Almost surely, 2106226061629 is an apocalyptic number.

It is an amenable number.

106226061629 is a deficient number, since it is larger than the sum of its proper divisors (1).

106226061629 is an equidigital number, since it uses as much as digits as its factorization.

106226061629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 106226061629 in words is "one hundred six billion, two hundred twenty-six million, sixty-one thousand, six hundred twenty-nine".