Search a number
-
+
13020331302 = 232113713113567
BaseRepresentation
bin11000010000001001…
…00111110100100110
31020121102001100202200
430020010213310212
5203131201100202
65551554515330
7640440663366
oct141004476446
936542040680
1013020331302
115581701690
122634595b46
1312c666cb64
148b733c9a6
1551311ae1c
hex308127d26

13020331302 has 96 divisors (see below), whose sum is σ = 31850717184. Its totient is φ = 3809332800.

The previous prime is 13020331213. The next prime is 13020331307. The reversal of 13020331302 is 20313302031.

13020331302 is a `hidden beast` number, since 1 + 30 + 2 + 0 + 331 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020331307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952923 + ... + 966489.

It is an arithmetic number, because the mean of its divisors is an integer number (331778304).

Almost surely, 213020331302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020331302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925358592).

13020331302 is an abundant number, since it is smaller than the sum of its proper divisors (18830385882).

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

13020331302 is a wasteful number, since it uses less digits than its factorization.

13020331302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13754 (or 13751 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13020331302 its reverse (20313302031), we get a palindrome (33333633333).

The spelling of 13020331302 in words is "thirteen billion, twenty million, three hundred thirty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 131 198 222 262 333 393 407 666 786 814 1179 1221 1441 2358 2442 2882 3663 4323 4847 7326 8646 9694 12969 13567 14541 25938 27134 29082 40701 43623 53317 81402 87246 106634 122103 149237 159951 244206 298474 319902 447711 479853 501979 895422 959706 1003958 1343133 1505937 1777277 2686266 3011874 3554554 4517811 5331831 5521769 9035622 10663662 11043538 15995493 16565307 19550047 31990986 33130614 39100094 49695921 58650141 65759249 99391842 117300282 131518498 175950423 197277747 351900846 394555494 591833241 723351739 1183666482 1446703478 2170055217 4340110434 6510165651 13020331302