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2313020320 = 255131378117
BaseRepresentation
bin1000100111011101…
…1110001110100000
312222012100121101021
42021313132032200
514214113122240
61021304015224
7111214230322
oct21167361640
95865317337
102313020320
11a87704446
12546761514
132ab2836a0
1417d29b612
15d80e454a
hex89dde3a0

2313020320 has 96 divisors (see below), whose sum is σ = 5928542928. Its totient is φ = 847699968.

The previous prime is 2313020317. The next prime is 2313020351. The reversal of 2313020320 is 230203132.

2313020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1189698064 + 1123322256 = 34492^2 + 33516^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2313020294 and 2313020303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280902 + ... + 289018.

Almost surely, 22313020320 is an apocalyptic number.

2313020320 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 2313020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964271464).

2313020320 is an abundant number, since it is smaller than the sum of its proper divisors (3615522608).

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

2313020320 is a wasteful number, since it uses less digits than its factorization.

2313020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2313020320 is about 48093.8698796427. The cubic root of 2313020320 is about 1322.4922916493.

Adding to 2313020320 its reverse (230203132), we get a palindrome (2543223452).

The spelling of 2313020320 in words is "two billion, three hundred thirteen million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 137 160 208 260 274 416 520 548 685 1040 1096 1370 1781 2080 2192 2740 3562 4384 5480 7124 8117 8905 10960 14248 16234 17810 21920 28496 32468 35620 40585 56992 64936 71240 81170 105521 129872 142480 162340 211042 259744 284960 324680 422084 527605 649360 844168 1055210 1112029 1298720 1688336 2110420 2224058 3376672 4220840 4448116 5560145 8441680 8896232 11120290 14456377 16883360 17792464 22240580 28912754 35584928 44481160 57825508 72281885 88962320 115651016 144563770 177924640 231302032 289127540 462604064 578255080 1156510160 2313020320