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106917429827 = 1339119210241
BaseRepresentation
bin110001110010011000…
…1101000001001000011
3101012222021000012001102
41203210301220021003
53222431330223302
6121041151325015
710503341105255
oct1434461501103
9335867005042
10106917429827
114138611355a
121887a52076b
13a10b9954a0
145263a45cd5
152bab693702
hex18e4c68243

106917429827 has 8 divisors (see below), whose sum is σ = 115145338560. Its totient is φ = 98690019840.

The previous prime is 106917429821. The next prime is 106917429833. The reversal of 106917429827 is 728924719601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106917429821) and next prime (106917429833).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106917429827 - 214 = 106917413443 is a prime.

It is a super-2 number, since 2×1069174298272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106917429821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403427 + ... + 613667.

It is an arithmetic number, because the mean of its divisors is an integer number (14393167320).

Almost surely, 2106917429827 is an apocalyptic number.

106917429827 is a deficient number, since it is larger than the sum of its proper divisors (8227908733).

106917429827 is a wasteful number, since it uses less digits than its factorization.

106917429827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249373.

The product of its (nonzero) digits is 3048192, while the sum is 56.

The spelling of 106917429827 in words is "one hundred six billion, nine hundred seventeen million, four hundred twenty-nine thousand, eight hundred twenty-seven".

Divisors: 1 13 39119 210241 508547 2733133 8224417679 106917429827