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4123312116 = 22371137120607
BaseRepresentation
bin1111010111000100…
…1011111111110100
3101122100201221212120
43311301023333310
531421031441431
61521052515540
7204115401060
oct36561137764
911570657776
104123312116
111826558470
12970a7bbb0
13509338071
142b1892aa0
15191ed2196
hexf5c4bff4

4123312116 has 96 divisors (see below), whose sum is σ = 12319383552. Its totient is φ = 1042035840.

The previous prime is 4123312111. The next prime is 4123312117. The reversal of 4123312116 is 6112133214.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123312111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26116 + ... + 94491.

It is an arithmetic number, because the mean of its divisors is an integer number (128326912).

Almost surely, 24123312116 is an apocalyptic number.

It is an amenable number.

4123312116 is an abundant number, since it is smaller than the sum of its proper divisors (8196071436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4123312116 is a wasteful number, since it uses less digits than its factorization.

4123312116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120669 (or 120667 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 4123312116 is about 64213.0213897462. The cubic root of 4123312116 is about 1603.5483898676.

The spelling of 4123312116 in words is "four billion, one hundred twenty-three million, three hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 132 148 154 222 231 259 308 407 444 462 518 777 814 924 1036 1221 1554 1628 2442 2849 3108 4884 5698 8547 11396 17094 34188 120607 241214 361821 482428 723642 844249 1326677 1447284 1688498 2532747 2653354 3376996 3980031 4462459 5065494 5306708 7960062 8924918 9286739 10130988 13387377 15920124 17849836 18573478 26774754 27860217 31237213 37146956 49087049 53549508 55720434 62474426 93711639 98174098 111440868 124948852 147261147 187423278 196348196 294522294 343609343 374846556 589044588 687218686 1030828029 1374437372 2061656058 4123312116