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4120168113 = 34531576113
BaseRepresentation
bin1111010110010100…
…1100011010110001
3101122010211020010000
43311211030122301
531414230334423
61520501300213
7204046564635
oct36545143261
911563736100
104120168113
111824800316
1296ba04669
135087a6cc9
142b12b4dc5
15191ab0843
hexf594c6b1

4120168113 has 40 divisors (see below), whose sum is σ = 6311922408. Its totient is φ = 2677349376.

The previous prime is 4120168103. The next prime is 4120168139. The reversal of 4120168113 is 3118610214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 706336929 + 3413831184 = 26577^2 + 58428^2 .

It is not a de Polignac number, because 4120168113 - 26 = 4120168049 is a prime.

It is a super-3 number, since 3×41201681133 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4120168103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 670945 + ... + 677057.

Almost surely, 24120168113 is an apocalyptic number.

It is an amenable number.

4120168113 is a deficient number, since it is larger than the sum of its proper divisors (2191754295).

4120168113 is a wasteful number, since it uses less digits than its factorization.

4120168113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4120168113 is about 64188.5356820048. The cubic root of 4120168113 is about 1603.1407206009.

Adding to 4120168113 its reverse (3118610214), we get a palindrome (7238778327).

The spelling of 4120168113 in words is "four billion, one hundred twenty million, one hundred sixty-eight thousand, one hundred thirteen".

Divisors: 1 3 9 27 53 81 157 159 471 477 1413 1431 4239 4293 6113 8321 12717 18339 24963 55017 74889 165051 224667 323989 495153 674001 959741 971967 2879223 2915901 8637669 8747703 25913007 26243109 50866273 77739021 152598819 457796457 1373389371 4120168113