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10013002320 = 2435113369211
BaseRepresentation
bin10010101001101001…
…00100101001010000
3221211211020012221210
421110310210221100
5131001312033240
64333325220120
7503063054406
oct112464445120
927754205853
1010013002320
114279095932
121b35401640
13c375c0759
146adb89476
153d90ca780
hex254d24a50

10013002320 has 80 divisors (see below), whose sum is σ = 31315084992. Its totient is φ = 2646497280.

The previous prime is 10013002291. The next prime is 10013002343. The reversal of 10013002320 is 2320031001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10013002296 and 10013002305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157486 + ... + 211725.

Almost surely, 210013002320 is an apocalyptic number.

10013002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013002320 is an abundant number, since it is smaller than the sum of its proper divisors (21302082672).

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

10013002320 is a wasteful number, since it uses less digits than its factorization.

10013002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369340 (or 369334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10013002320 its reverse (2320031001), we get a palindrome (12333033321).

The spelling of 10013002320 in words is "ten billion, thirteen million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 369211 738422 1107633 1476844 1846055 2215266 2953688 3692110 4430532 5538165 5907376 7384220 8861064 11076330 14768440 17722128 22152660 29536880 41720843 44305320 83441686 88610640 125162529 166883372 208604215 250325058 333766744 417208430 500650116 625812645 667533488 834416860 1001300232 1251625290 1668833720 2002600464 2503250580 3337667440 5006501160 10013002320