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13210335112 = 2313178390023
BaseRepresentation
bin11000100110110010…
…11011011110001000
31021002122120112222211
430103121123132020
5204023321210422
610022503154504
7645235665352
oct142331333610
937078515884
1013210335112
115669987327
122688145a34
131326b37250
148d467c0d2
15524b4d577
hex31365b788

13210335112 has 64 divisors (see below), whose sum is σ = 28584420480. Its totient is φ = 5669225472.

The previous prime is 13210335109. The next prime is 13210335119. The reversal of 13210335112 is 21153301231.

13210335112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13210335119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 101733 + ... + 191755.

It is an arithmetic number, because the mean of its divisors is an integer number (446631570).

Almost surely, 213210335112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210335112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292210240).

13210335112 is an abundant number, since it is smaller than the sum of its proper divisors (15374085368).

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

13210335112 is a wasteful number, since it uses less digits than its factorization.

13210335112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90142 (or 90138 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 13210335112 its reverse (21153301231), we get a palindrome (34363636343).

The spelling of 13210335112 in words is "thirteen billion, two hundred ten million, three hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 83 104 136 166 221 332 442 664 884 1079 1411 1768 2158 2822 4316 5644 8632 11288 18343 36686 73372 90023 146744 180046 360092 720184 1170299 1530391 2340598 3060782 4681196 6121564 7471909 9362392 12243128 14943818 19895083 29887636 39790166 59775272 79580332 97134817 127022453 159160664 194269634 254044906 388539268 508089812 777078536 1016179624 1651291889 3302583778 6605167556 13210335112