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106160404313 = 2925913141269
BaseRepresentation
bin110001011011110100…
…1110011011101011001
3101011000111112022021102
41202313221303131121
53214404030414223
6120434105521145
710445516355635
oct1426751633531
9334014468242
10106160404313
1141027865037
12186a8aa31b5
13a01abaacb2
1451d12a5dc5
152b64ea9928
hex18b7a73759

106160404313 has 8 divisors (see below), whose sum is σ = 109826123400. Its totient is φ = 102495019648.

The previous prime is 106160404309. The next prime is 106160404327. The reversal of 106160404313 is 313404061601.

It can be written as a sum of positive squares in 4 ways, for example, as 22784996809 + 83375407504 = 150947^2 + 288748^2 .

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 106160404313 - 22 = 106160404309 is a prime.

It is a super-2 number, since 2×1061604043132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106160404393) 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, 680843 + ... + 822111.

It is an arithmetic number, because the mean of its divisors is an integer number (13728265425).

Almost surely, 2106160404313 is an apocalyptic number.

It is an amenable number.

106160404313 is a deficient number, since it is larger than the sum of its proper divisors (3665719087).

106160404313 is a wasteful number, since it uses less digits than its factorization.

106160404313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167211.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 106160404313 its reverse (313404061601), we get a palindrome (419564465914).

The spelling of 106160404313 in words is "one hundred six billion, one hundred sixty million, four hundred four thousand, three hundred thirteen".

Divisors: 1 29 25913 141269 751477 4096801 3660703597 106160404313