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1323101002320 = 243251837640281
BaseRepresentation
bin10011010000001110111…
…101110001101001010000
311200111011011221221221200
4103100032331301221100
5133134202324033240
62451454010151200
7164406450646356
oct23201675615120
94614134857850
101323101002320
11470140028149
12194513a22500
13979ca08b396
14480776497d6
152463c036930
hex1340ef71a50

1323101002320 has 60 divisors (see below), whose sum is σ = 4443414201876. Its totient is φ = 352826933760.

The previous prime is 1323101002319. The next prime is 1323101002339. The reversal of 1323101002320 is 232001013231.

1323101002320 is a `hidden beast` number, since 1 + 32 + 310 + 1 + 0 + 0 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1019429470224 + 303671532096 = 1009668^2 + 551064^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 1323101002293 and 1323101002302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918819421 + ... + 918820860.

Almost surely, 21323101002320 is an apocalyptic number.

1323101002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323101002320 is an abundant number, since it is smaller than the sum of its proper divisors (3120313199556).

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

1323101002320 is a wasteful number, since it uses less digits than its factorization.

1323101002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837640300 (or 1837640291 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1323101002320 its reverse (232001013231), we get a palindrome (1555102015551).

The spelling of 1323101002320 in words is "one trillion, three hundred twenty-three billion, one hundred one million, two thousand, three 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 90 120 144 180 240 360 720 1837640281 3675280562 5512920843 7350561124 9188201405 11025841686 14701122248 16538762529 18376402810 22051683372 27564604215 29402244496 33077525058 36752805620 44103366744 55129208430 66155050116 73505611240 82693812645 88206733488 110258416860 132310100232 147011222480 165387625290 220516833720 264620200464 330775250580 441033667440 661550501160 1323101002320