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4312103320 = 2357532771049
BaseRepresentation
bin1000000010000010…
…10111100110011000
3102010111222112201101
410001001113212120
532312344301240
61551515201144
7211600162540
oct40101274630
912114875641
104312103320
111913085058
12a041461b4
13539499535
142cc998320
151a387539a
hex101057998

4312103320 has 128 divisors (see below), whose sum is σ = 11349072000. Its totient is φ = 1443926016.

The previous prime is 4312103309. The next prime is 4312103387. The reversal of 4312103320 is 233012134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4110156 + ... + 4111204.

It is an arithmetic number, because the mean of its divisors is an integer number (88664625).

Almost surely, 24312103320 is an apocalyptic number.

4312103320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674536000).

4312103320 is an abundant number, since it is smaller than the sum of its proper divisors (7036968680).

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

4312103320 is a wasteful number, since it uses less digits than its factorization.

4312103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4312103320 is about 65666.6073434588. The cubic root of 4312103320 is about 1627.6576087943.

Adding to 4312103320 its reverse (233012134), we get a palindrome (4545115454).

The spelling of 4312103320 in words is "four billion, three hundred twelve million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 277 280 371 424 530 554 742 1049 1060 1108 1385 1484 1855 1939 2098 2120 2216 2770 2968 3710 3878 4196 5245 5540 7343 7420 7756 8392 9695 10490 11080 14681 14686 14840 15512 19390 20980 29362 29372 36715 38780 41960 55597 58724 58744 73405 73430 77560 102767 111194 117448 146810 146860 205534 222388 277985 290573 293620 293720 389179 411068 444776 513835 555970 581146 587240 778358 822136 1027670 1111940 1162292 1452865 1556716 1945895 2034011 2055340 2223880 2324584 2905730 3113432 3891790 4068022 4110680 5811460 7783580 8136044 10170055 11622920 15400369 15567160 16272088 20340110 30800738 40680220 61601476 77001845 81360440 107802583 123202952 154003690 215605166 308007380 431210332 539012915 616014760 862420664 1078025830 2156051660 4312103320