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106229929301 is a prime number
BaseRepresentation
bin110001011101111001…
…1000001010101010101
3101011012100100112121222
41202323303001111111
53220024330214201
6120445032020125
710450322333456
oct1427363012525
9334170315558
10106229929301
1141063031201
1218708231645
13a02c411542
1451da60312d
152b6b13e91b
hex18bbcc1555

106229929301 has 2 divisors, whose sum is σ = 106229929302. Its totient is φ = 106229929300.

The previous prime is 106229929297. The next prime is 106229929313. The reversal of 106229929301 is 103929922601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99965998276 + 6263931025 = 316174^2 + 79145^2 .

It is a cyclic number.

It is not a de Polignac number, because 106229929301 - 22 = 106229929297 is a prime.

It is a super-2 number, since 2×1062299293012 (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 (106229929331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53114964650 + 53114964651.

It is an arithmetic number, because the mean of its divisors is an integer number (53114964651).

Almost surely, 2106229929301 is an apocalyptic number.

It is an amenable number.

106229929301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106229929301 is an equidigital number, since it uses as much as digits as its factorization.

106229929301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 44.

The spelling of 106229929301 in words is "one hundred six billion, two hundred twenty-nine million, nine hundred twenty-nine thousand, three hundred one".