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106108229007 = 32113134574203
BaseRepresentation
bin110001011010010001…
…0110001010110001111
3101010212212100112012200
41202310202301112033
53214302201312012
6120425003332543
710444314031224
oct1426442612617
9333785315180
10106108229007
1141000368a50
1218693521153
13a010140731
1451c83a394b
152b606003dc
hex18b48b158f

106108229007 has 24 divisors (see below), whose sum is σ = 172594426368. Its totient is φ = 62233563600.

The previous prime is 106108228997. The next prime is 106108229009. The reversal of 106108229007 is 700922801601.

106108229007 is a `hidden beast` number, since 10 + 610 + 8 + 2 + 29 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 106108229007 - 210 = 106108227983 is a prime.

It is a super-2 number, since 2×1061082290072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106108229009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17284033 + ... + 17290170.

It is an arithmetic number, because the mean of its divisors is an integer number (7191434432).

Almost surely, 2106108229007 is an apocalyptic number.

106108229007 is a deficient number, since it is larger than the sum of its proper divisors (66486197361).

106108229007 is a wasteful number, since it uses less digits than its factorization.

106108229007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34574251 (or 34574248 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 106108229007 in words is "one hundred six billion, one hundred eight million, two hundred twenty-nine thousand, seven".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 34574203 103722609 311167827 380316233 1071800293 1140948699 3215400879 3422846097 9646202637 11789803223 35369409669 106108229007