Search a number
-
+
13371072520 = 23513314120231
BaseRepresentation
bin11000111001111101…
…00110000000001000
31021111212000212021011
430130332212000020
5204340443310040
610050444253304
7652230145501
oct143476460010
937455025234
1013371072520
115741692763
122711b41234
131351225540
1490bb5dba8
15533cee3ea
hex31cfa6008

13371072520 has 128 divisors (see below), whose sum is σ = 34261678080. Its totient is φ = 4660992000.

The previous prime is 13371072503. The next prime is 13371072523. The reversal of 13371072520 is 2527017331.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (13371072523) 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, 650805 + ... + 671035.

It is an arithmetic number, because the mean of its divisors is an integer number (267669360).

Almost surely, 213371072520 is an apocalyptic number.

13371072520 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 13371072520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130839040).

13371072520 is an abundant number, since it is smaller than the sum of its proper divisors (20890605560).

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

13371072520 is a wasteful number, since it uses less digits than its factorization.

13371072520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20327 (or 20323 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

Adding to 13371072520 its reverse (2527017331), we get a palindrome (15898089851).

The spelling of 13371072520 in words is "thirteen billion, three hundred seventy-one million, seventy-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 41 52 62 65 82 104 124 130 155 164 205 248 260 310 328 403 410 520 533 620 806 820 1066 1240 1271 1612 1640 2015 2132 2542 2665 3224 4030 4264 5084 5330 6355 8060 10168 10660 12710 16120 16523 20231 21320 25420 33046 40462 50840 66092 80924 82615 101155 132184 161848 165230 202310 263003 330460 404620 526006 627161 660920 809240 829471 1052012 1254322 1315015 1658942 2104024 2508644 2630030 3135805 3317884 4147355 5017288 5260060 6271610 6635768 8153093 8294710 10520120 10783123 12543220 16306186 16589420 21566246 25086440 25713601 32612372 33178840 40765465 43132492 51427202 53915615 65224744 81530930 86264984 102854404 107831230 128568005 163061860 205708808 215662460 257136010 326123720 334276813 431324920 514272020 668553626 1028544040 1337107252 1671384065 2674214504 3342768130 6685536260 13371072520