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10321042320 = 2432543333367
BaseRepresentation
bin10011001110010111…
…01001101110010000
3222122021212021101200
421213023221232100
5132114141323240
64424051431200
7513523261251
oct114713515620
928567767350
1010321042320
114416a60946
1220005b5500
13c86374c44
146dca52b28
15406176930
hex2672e9b90

10321042320 has 120 divisors (see below), whose sum is σ = 35467688256. Its totient is φ = 2688263424.

The previous prime is 10321042313. The next prime is 10321042349. The reversal of 10321042320 is 2324012301.

10321042320 is a `hidden beast` number, since 10 + 3 + 210 + 423 + 20 = 666.

10321042320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10321042293 and 10321042302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135724 + ... + 197643.

Almost surely, 210321042320 is an apocalyptic number.

10321042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321042320 is an abundant number, since it is smaller than the sum of its proper divisors (25146645936).

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

10321042320 is a wasteful number, since it uses less digits than its factorization.

10321042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333429 (or 333420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10321042320 its reverse (2324012301), we get a palindrome (12645054621).

It can be divided in two parts, 103210 and 42320, that added together give a triangular number (145530 = T539).

The spelling of 10321042320 in words is "ten billion, three hundred twenty-one million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 333367 666734 1000101 1333468 1666835 2000202 2666936 3000303 3333670 4000404 5000505 5333872 6000606 6667340 8000808 10001010 12001212 13334680 14334781 15001515 16001616 20002020 24002424 26669360 28669562 30003030 40004040 43004343 48004848 57339124 60006060 71673905 80008080 86008686 114678248 120012120 129013029 143347810 172017372 215021715 229356496 240024240 258026058 286695620 344034744 430043430 516052116 573391240 645065145 688069488 860086860 1032104232 1146782480 1290130290 1720173720 2064208464 2580260580 3440347440 5160521160 10321042320