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13201031310 = 2353783143287
BaseRepresentation
bin11000100101101011…
…11100000010001110
31021002000001212120120
430102311330002032
5204013431000220
610021531525410
7645063625515
oct142265740216
937060055516
1013201031310
115664702235
122684bb9866
131324c2a53c
148d333967c
15523e11a40
hex312d7c08e

13201031310 has 64 divisors (see below), whose sum is σ = 32931021312. Its totient is φ = 3383842176.

The previous prime is 13201031303. The next prime is 13201031317. The reversal of 13201031310 is 1313010231.

It is an interprime number because it is at equal distance from previous prime (13201031303) and next prime (13201031317).

It is a super-2 number, since 2×132010313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13201031310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201031317) 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, 20487 + ... + 163773.

It is an arithmetic number, because the mean of its divisors is an integer number (514547208).

Almost surely, 213201031310 is an apocalyptic number.

13201031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201031310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465510656).

13201031310 is an abundant number, since it is smaller than the sum of its proper divisors (19729990002).

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

13201031310 is a wasteful number, since it uses less digits than its factorization.

13201031310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143417.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13201031310 its reverse (1313010231), we get a palindrome (14514041541).

The spelling of 13201031310 in words is "thirteen billion, two hundred one million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 83 111 166 185 222 249 370 415 498 555 830 1110 1245 2490 3071 6142 9213 15355 18426 30710 46065 92130 143287 286574 429861 716435 859722 1432870 2149305 4298610 5301619 10603238 11892821 15904857 23785642 26508095 31809714 35678463 53016190 59464105 71356926 79524285 118928210 159048570 178392315 356784630 440034377 880068754 1320103131 2200171885 2640206262 4400343770 6600515655 13201031310