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1013502321 = 331314919379
BaseRepresentation
bin111100011010001…
…101000101110001
32121122002020211000
4330122031011301
54033424033241
6244322512213
734054425156
oct7432150561
92548066730
101013502321
11480106327
12243505669
13131c86c20
149886422d
155de9beb6
hex3c68d171

1013502321 has 32 divisors (see below), whose sum is σ = 1627920000. Its totient is φ = 619475904.

The previous prime is 1013502307. The next prime is 1013502341. The reversal of 1013502321 is 1232053101.

1013502321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1013502321 - 26 = 1013502257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013502294 and 1013502303.

It is not an unprimeable number, because it can be changed into a prime (1013502341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42610 + ... + 61988.

It is an arithmetic number, because the mean of its divisors is an integer number (50872500).

Almost surely, 21013502321 is an apocalyptic number.

It is an amenable number.

1013502321 is a deficient number, since it is larger than the sum of its proper divisors (614417679).

1013502321 is a wasteful number, since it uses less digits than its factorization.

1013502321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19550 (or 19544 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1013502321 is about 31835.5512124417. The cubic root of 1013502321 is about 1004.4806673020.

Adding to 1013502321 its reverse (1232053101), we get a palindrome (2245555422).

The spelling of 1013502321 in words is "one billion, thirteen million, five hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 149 351 447 1341 1937 4023 5811 17433 19379 52299 58137 174411 251927 523233 755781 2267343 2887471 6802029 8662413 25987239 37537123 77961717 112611369 337834107 1013502321