Search a number
-
+
11320301300 = 22527114573217
BaseRepresentation
bin10101000101011111…
…00001011011110100
31002012221010220000112
422202233201123310
5141140444120200
65111145202152
7550345654610
oct124257413364
932187126015
1011320301300
11488a018a10
12223b190358
1310b53b2a49
1479564a340
15463c5d535
hex2a2be16f4

11320301300 has 144 divisors (see below), whose sum is σ = 30703118208. Its totient is φ = 3519590400.

The previous prime is 11320301261. The next prime is 11320301329. The reversal of 11320301300 is 310302311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 3517292 + ... + 3520508.

Almost surely, 211320301300 is an apocalyptic number.

11320301300 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 11320301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351559104).

11320301300 is an abundant number, since it is smaller than the sum of its proper divisors (19382816908).

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

11320301300 is a wasteful number, since it uses less digits than its factorization.

11320301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11320301300 its reverse (310302311), we get a palindrome (11630603611).

The spelling of 11320301300 in words is "eleven billion, three hundred twenty million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 457 550 700 770 914 1100 1540 1828 1925 2285 3199 3217 3850 4570 5027 6398 6434 7700 9140 10054 11425 12796 12868 15995 16085 20108 22519 22850 25135 31990 32170 35189 35387 45038 45700 50270 63980 64340 70378 70774 79975 80425 90076 100540 112595 125675 140756 141548 159950 160850 175945 176935 225190 247709 251350 319900 321700 351890 353870 450380 495418 502700 562975 703780 707740 879725 884675 990836 1125950 1238545 1470169 1759450 1769350 2251900 2477090 2940338 3518900 3538700 4954180 5880676 6192725 7350845 10291183 12385450 14701690 16171859 20582366 24770900 29403380 32343718 36754225 41164732 51455915 64687436 73508450 80859295 102911830 113203013 147016900 161718590 205823660 226406026 257279575 323437180 404296475 452812052 514559150 566015065 808592950 1029118300 1132030130 1617185900 2264060260 2830075325 5660150650 11320301300