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2313303120 = 243253978093
BaseRepresentation
bin1000100111100010…
…0011010001010000
312222012212222022100
42021320203101100
514214201144440
61021314040400
7111216515652
oct21170432120
95865788270
102313303120
11a87887967
12546879100
132ab35231b
1417d3326d2
15d814d230
hex89e23450

2313303120 has 120 divisors (see below), whose sum is σ = 7789374216. Its totient is φ = 615250944.

The previous prime is 2313303119. The next prime is 2313303151. The reversal of 2313303120 is 213033132.

2313303120 is a `hidden beast` number, since 23 + 1 + 330 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314140176 + 1999162944 = 17724^2 + 44712^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2313303093 and 2313303102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281794 + ... + 289886.

Almost surely, 22313303120 is an apocalyptic number.

2313303120 is a gapful number since it is divisible by the number (20) 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 2313303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894687108).

2313303120 is an abundant number, since it is smaller than the sum of its proper divisors (5476071096).

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

2313303120 is a wasteful number, since it uses less digits than its factorization.

2313303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2313303120 is about 48096.8098734209. The cubic root of 2313303120 is about 1322.5461873538.

Adding to 2313303120 its reverse (213033132), we get a palindrome (2526336252).

The spelling of 2313303120 in words is "two billion, three hundred thirteen million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 397 720 794 1191 1588 1985 2382 3176 3573 3970 4764 5955 6352 7146 7940 8093 9528 11910 14292 15880 16186 17865 19056 23820 24279 28584 31760 32372 35730 40465 47640 48558 57168 64744 71460 72837 80930 95280 97116 121395 129488 142920 145674 161860 194232 242790 285840 291348 323720 364185 388464 485580 582696 647440 728370 971160 1165392 1456740 1942320 2913480 3212921 5826960 6425842 9638763 12851684 16064605 19277526 25703368 28916289 32129210 38555052 48193815 51406736 57832578 64258420 77110104 96387630 115665156 128516840 144581445 154220208 192775260 231330312 257033680 289162890 385550520 462660624 578325780 771101040 1156651560 2313303120