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4111321320 = 2333515724247
BaseRepresentation
bin1111010100001101…
…1100100011101000
3101121112011202121000
43311003130203220
531404444240240
61515543515000
7203611440351
oct36503344350
911545152530
104111321320
11181a808617
12968a58a60
135069ca312
142b0050d28
15190e14430
hexf50dc8e8

4111321320 has 128 divisors (see below), whose sum is σ = 13792262400. Its totient is φ = 1089324288.

The previous prime is 4111321307. The next prime is 4111321321. The reversal of 4111321320 is 231231114.

4111321320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4111321293 and 4111321302.

It is not an unprimeable number, because it can be changed into a prime (4111321321) 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, 157437 + ... + 181683.

It is an arithmetic number, because the mean of its divisors is an integer number (107752050).

Almost surely, 24111321320 is an apocalyptic number.

4111321320 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 4111321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896131200).

4111321320 is an abundant number, since it is smaller than the sum of its proper divisors (9680941080).

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

4111321320 is a wasteful number, since it uses less digits than its factorization.

4111321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24424 (or 24414 counting only the distinct ones).

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

The square root of 4111321320 is about 64119.5860872479. The cubic root of 4111321320 is about 1601.9924812732.

Adding to 4111321320 its reverse (231231114), we get a palindrome (4342552434).

The spelling of 4111321320 in words is "four billion, one hundred eleven million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 157 180 216 270 314 360 471 540 628 785 942 1080 1256 1413 1570 1884 2355 2826 3140 3768 4239 4710 5652 6280 7065 8478 9420 11304 14130 16956 18840 21195 24247 28260 33912 42390 48494 56520 72741 84780 96988 121235 145482 169560 193976 218223 242470 290964 363705 436446 484940 581928 654669 727410 872892 969880 1091115 1309338 1454820 1745784 2182230 2618676 2909640 3273345 3806779 4364460 5237352 6546690 7613558 8728920 11420337 13093380 15227116 19033895 22840674 26186760 30454232 34261011 38067790 45681348 57101685 68522022 76135580 91362696 102783033 114203370 137044044 152271160 171305055 205566066 228406740 274088088 342610110 411132132 456813480 513915165 685220220 822264264 1027830330 1370440440 2055660660 4111321320