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3112134102 = 2337117310253
BaseRepresentation
bin1011100101111111…
…0110010111010110
322000220000210102000
42321133312113112
522333201242402
61232451500130
7140056463160
oct27137662726
98026023360
103112134102
11135779a460
1272a2b7646
133a79b608c
14217475930
15133343c1c
hexb97f65d6

3112134102 has 128 divisors (see below), whose sum is σ = 8741329920. Its totient is φ = 797195520.

The previous prime is 3112134007. The next prime is 3112134107. The reversal of 3112134102 is 2014312113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112134107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298408 + ... + 308660.

It is an arithmetic number, because the mean of its divisors is an integer number (68291640).

Almost surely, 23112134102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112134102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370664960).

3112134102 is an abundant number, since it is smaller than the sum of its proper divisors (5629195818).

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

3112134102 is a wasteful number, since it uses less digits than its factorization.

3112134102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3112134102 is about 55786.5046583849. The cubic root of 3112134102 is about 1459.9997031963. Note that the first 3 decimals are identical.

Adding to 3112134102 its reverse (2014312113), we get a palindrome (5126446215).

The spelling of 3112134102 in words is "three billion, one hundred twelve million, one hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 73 77 99 126 146 154 189 198 219 231 297 378 438 462 511 594 657 693 803 1022 1314 1386 1533 1606 1971 2079 2409 3066 3942 4158 4599 4818 5621 7227 9198 10253 11242 13797 14454 16863 20506 21681 27594 30759 33726 43362 50589 61518 71771 92277 101178 112783 143542 151767 184554 215313 225566 276831 303534 338349 430626 553662 645939 676698 748469 789481 1015047 1291878 1496938 1578962 1937817 2030094 2245407 2368443 3045141 3875634 4490814 4736886 5239283 6090282 6736221 7105329 8233159 10478566 13472442 14210658 15717849 16466318 20208663 21315987 24699477 31435698 40417326 42631974 47153547 49398954 57632113 74098431 94307094 115264226 141460641 148196862 172896339 222295293 282921282 345792678 444590586 518689017 1037378034 1556067051 3112134102