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1012241320 = 23561715843
BaseRepresentation
bin111100010101011…
…001001110101000
32121112201012001021
4330111121032220
54033113210240
6244235502224
734040623606
oct7425311650
92545635037
101012241320
1147a424982
12242bb7974
13131934c7c
1498616876
155dced54a
hex3c5593a8

1012241320 has 64 divisors (see below), whose sum is σ = 2347885440. Its totient is φ = 392582400.

The previous prime is 1012241311. The next prime is 1012241341. The reversal of 1012241320 is 231422101.

1012241320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012241294 and 1012241303.

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, 170319 + ... + 176161.

It is an arithmetic number, because the mean of its divisors is an integer number (36685710).

Almost surely, 21012241320 is an apocalyptic number.

1012241320 is a gapful number since it is divisible by the number (10) 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 1012241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173942720).

1012241320 is an abundant number, since it is smaller than the sum of its proper divisors (1335644120).

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

1012241320 is a wasteful number, since it uses less digits than its factorization.

1012241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1012241320 is about 31815.7401296905. The cubic root of 1012241320 is about 1004.0639023257.

Adding to 1012241320 its reverse (231422101), we get a palindrome (1243663421).

The spelling of 1012241320 in words is "one billion, twelve million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 71 122 142 244 284 305 355 488 568 610 710 1220 1420 2440 2840 4331 5843 8662 11686 17324 21655 23372 29215 34648 43310 46744 58430 86620 116860 173240 233720 356423 414853 712846 829706 1425692 1659412 1782115 2074265 2851384 3318824 3564230 4148530 7128460 8297060 14256920 16594120 25306033 50612066 101224132 126530165 202448264 253060330 506120660 1012241320