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10320313120 = 255134961689
BaseRepresentation
bin10011001110010001…
…10111101100100000
3222122020111020010021
421213020313230200
5132114000004440
64424024043224
7513514133305
oct114710675440
928566436107
1010320313120
114416602aa7
122000303514
13c8617b070
146dc9030ac
1540608084a
hex267237b20

10320313120 has 48 divisors (see below), whose sum is σ = 26257263480. Its totient is φ = 3810576384.

The previous prime is 10320313111. The next prime is 10320313139. The reversal of 10320313120 is 2131302301.

It can be written as a sum of positive squares in 4 ways, for example, as 6867105424 + 3453207696 = 82868^2 + 58764^2 .

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 = 10320313094 and 10320313103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2478765 + ... + 2482924.

Almost surely, 210320313120 is an apocalyptic number.

10320313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320313120 is an abundant number, since it is smaller than the sum of its proper divisors (15936950360).

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

10320313120 is a wasteful number, since it uses less digits than its factorization.

10320313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961717 (or 4961709 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10320313120 its reverse (2131302301), we get a palindrome (12451615421).

The spelling of 10320313120 in words is "ten billion, three hundred twenty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 4961689 9923378 19846756 24808445 39693512 49616890 64501957 79387024 99233780 129003914 158774048 198467560 258007828 322509785 396935120 516015656 645019570 793870240 1032031312 1290039140 2064062624 2580078280 5160156560 10320313120