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3112123400 = 2352292112543
BaseRepresentation
bin1011100101111111…
…0011110000001000
322000220000020201122
42321133303300020
522333200422100
61232451334412
7140056420031
oct27137636010
98026006648
103112123400
111357792411
1272a2b1408
133a79b1249
14217471a88
15133340985
hexb97f3c08

3112123400 has 96 divisors (see below), whose sum is σ = 7523625600. Its totient is φ = 1195756800.

The previous prime is 3112123381. The next prime is 3112123423. The reversal of 3112123400 is 43212113.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1222529 + ... + 1225071.

It is an arithmetic number, because the mean of its divisors is an integer number (78371100).

Almost surely, 23112123400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761812800).

3112123400 is an abundant number, since it is smaller than the sum of its proper divisors (4411502200).

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

3112123400 is a wasteful number, since it uses less digits than its factorization.

3112123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3112123400 is about 55786.4087390468. The cubic root of 3112123400 is about 1459.9980296464.

Adding to 3112123400 its reverse (43212113), we get a palindrome (3155335513).

The spelling of 3112123400 in words is "three billion, one hundred twelve million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 211 232 290 422 580 725 844 1055 1160 1450 1688 2110 2543 2900 4220 5086 5275 5800 6119 8440 10172 10550 12238 12715 20344 21100 24476 25430 30595 42200 48952 50860 61190 63575 73747 101720 122380 127150 147494 152975 244760 254300 294988 305950 368735 508600 536573 589976 611900 737470 1073146 1223800 1474940 1843675 2146292 2682865 2949880 3687350 4292584 5365730 7374700 10731460 13414325 14749400 15560617 21462920 26828650 31121234 53657300 62242468 77803085 107314600 124484936 155606170 311212340 389015425 622424680 778030850 1556061700 3112123400