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106065313553 = 4713730235449
BaseRepresentation
bin110001011000111111…
…1000011111100010001
3101010202212121012021102
41202301333003330101
53214210210013203
6120420431434145
710443253201253
oct1426177037421
9333685535242
10106065313553
1140a89116a31
1218681085955
13a004295b84
1451c27d1cd3
152b5b974888
hex18b1fc3f11

106065313553 has 16 divisors (see below), whose sum is σ = 109168819200. Its totient is φ = 102997883136.

The previous prime is 106065313531. The next prime is 106065313583. The reversal of 106065313553 is 355313560601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106065313553 - 28 = 106065313297 is a prime.

It is a super-2 number, since 2×1060653135532 (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 (106065313583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19462373 + ... + 19467821.

It is an arithmetic number, because the mean of its divisors is an integer number (6823051200).

Almost surely, 2106065313553 is an apocalyptic number.

It is an amenable number.

106065313553 is a deficient number, since it is larger than the sum of its proper divisors (3103505647).

106065313553 is a wasteful number, since it uses less digits than its factorization.

106065313553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656.

The product of its (nonzero) digits is 121500, while the sum is 38.

The spelling of 106065313553 in words is "one hundred six billion, sixty-five million, three hundred thirteen thousand, five hundred fifty-three".

Divisors: 1 47 137 3023 5449 6439 142081 256103 414151 746513 16472327 19465097 35086111 774199369 2256708799 106065313553