Search a number
-
+
13310210540 = 22511237433457
BaseRepresentation
bin11000110010101100…
…11011000111101100
31021100121111202022202
430121112123013230
5204224403214130
610040432001032
7650560631354
oct143126330754
937317452282
1013310210540
1157102a3200
1226b5690178
131341736133
14903a39b64
1552d7cb145
hex31959b1ec

13310210540 has 144 divisors (see below), whose sum is σ = 32297000736. Its totient is φ = 4598415360.

The previous prime is 13310210539. The next prime is 13310210567. The reversal of 13310210540 is 4501201331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3848492 + ... + 3851948.

Almost surely, 213310210540 is an apocalyptic number.

13310210540 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 13310210540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148500368).

13310210540 is an abundant number, since it is smaller than the sum of its proper divisors (18986790196).

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

13310210540 is a wasteful number, since it uses less digits than its factorization.

13310210540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13310210540 its reverse (4501201331), we get a palindrome (17811411871).

The spelling of 13310210540 in words is "thirteen billion, three hundred ten million, two hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 43 44 55 74 86 110 121 148 172 185 215 220 242 370 407 430 473 484 605 740 814 860 946 1210 1591 1628 1892 2035 2365 2420 3182 3457 4070 4477 4730 5203 6364 6914 7955 8140 8954 9460 10406 13828 15910 17285 17501 17908 20812 22385 26015 31820 34570 35002 38027 44770 52030 69140 70004 76054 87505 89540 104060 127909 148651 152108 175010 190135 192511 255818 297302 350020 380270 385022 418297 511636 594604 639545 743255 760540 770044 836594 962555 1279090 1406999 1486510 1635161 1673188 1925110 2091485 2558180 2813998 2973020 3270322 3850220 4182970 5500087 5627996 6540644 7034995 8175805 8365940 11000174 14069990 15476989 16351610 17986771 22000348 27500435 28139980 30953978 32703220 35973542 55000870 60500957 61907956 71947084 77384945 89933855 110001740 121001914 154769890 179867710 242003828 302504785 309539780 359735420 605009570 665510527 1210019140 1331021054 2662042108 3327552635 6655105270 13310210540