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106181337349 is a prime number
BaseRepresentation
bin110001011100011100…
…1101010000100000101
3101011001221220211000001
41202320321222010011
53214424410243344
6120440134321301
710446162322123
oct1427071520405
9334057824001
10106181337349
114103866236a
12186b3ab9231
13a022329cc9
1451d3d94913
152b66c41ed4
hex18b8e6a105

106181337349 has 2 divisors, whose sum is σ = 106181337350. Its totient is φ = 106181337348.

The previous prime is 106181337337. The next prime is 106181337373. The reversal of 106181337349 is 943733181601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101114460225 + 5066877124 = 317985^2 + 71182^2 .

It is a cyclic number.

It is not a de Polignac number, because 106181337349 - 217 = 106181206277 is a prime.

It is a super-2 number, since 2×1061813373492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106181337299 and 106181337308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106181331349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53090668674 + 53090668675.

It is an arithmetic number, because the mean of its divisors is an integer number (53090668675).

Almost surely, 2106181337349 is an apocalyptic number.

It is an amenable number.

106181337349 is a deficient number, since it is larger than the sum of its proper divisors (1).

106181337349 is an equidigital number, since it uses as much as digits as its factorization.

106181337349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 106181337349 in words is "one hundred six billion, one hundred eighty-one million, three hundred thirty-seven thousand, three hundred forty-nine".