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1041314120 = 2357111512239
BaseRepresentation
bin111110000100010…
…011000101001000
32200120102020102122
4332010103011020
54113034022440
6251154550412
734543011140
oct7604230510
92616366378
101041314120
11494881790
12250898408
13137973c02
149c423920
15616427b5
hex3e113148

1041314120 has 128 divisors (see below), whose sum is σ = 2941747200. Its totient is φ = 322272000.

The previous prime is 1041314119. The next prime is 1041314129. The reversal of 1041314120 is 214131401.

It is a happy number.

It is a super-2 number, since 2×10413141202 = 2168670193022748800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1041314129) 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, 463961 + ... + 466199.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 21041314120 is an apocalyptic number.

1041314120 is a gapful number since it is divisible by the number (10) 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 1041314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

1041314120 is an abundant number, since it is smaller than the sum of its proper divisors (1900433080).

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

1041314120 is a wasteful number, since it uses less digits than its factorization.

1041314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1041314120 is about 32269.3991267269. The cubic root of 1041314120 is about 1013.5859591561.

Adding to 1041314120 its reverse (214131401), we get a palindrome (1255445521).

The spelling of 1041314120 in words is "one billion, forty-one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 151 154 220 280 302 308 385 440 604 616 755 770 1057 1208 1510 1540 1661 2114 2239 3020 3080 3322 4228 4478 5285 6040 6644 8305 8456 8956 10570 11195 11627 13288 15673 16610 17912 21140 22390 23254 24629 31346 33220 42280 44780 46508 49258 58135 62692 66440 78365 89560 93016 98516 116270 123145 125384 156730 172403 197032 232540 246290 313460 338089 344806 465080 492580 626920 676178 689612 862015 985160 1352356 1379224 1690445 1724030 2366623 2704712 3380890 3448060 3718979 4733246 6761780 6896120 7437958 9466492 11833115 13523560 14875916 18594895 18932984 23666230 26032853 29751832 37189790 47332460 52065706 74379580 94664920 104131412 130164265 148759160 208262824 260328530 520657060 1041314120