Search a number
-
+
11201001300 = 2233524199901
BaseRepresentation
bin10100110111010000…
…11011011101010100
31001220121122211012000
422123220123131110
5140414424020200
65051244155300
7544366640316
oct123350333524
931817584160
1011201001300
114828745075
122207238b30
131096772628
147838737b6
15458545300
hex29ba1b754

11201001300 has 144 divisors (see below), whose sum is σ = 36098731200. Its totient is φ = 2979504000.

The previous prime is 11201001289. The next prime is 11201001323. The reversal of 11201001300 is 310010211.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1126350 + ... + 1136250.

Almost surely, 211201001300 is an apocalyptic number.

11201001300 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 11201001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18049365600).

11201001300 is an abundant number, since it is smaller than the sum of its proper divisors (24897729900).

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

11201001300 is a wasteful number, since it uses less digits than its factorization.

11201001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10343 (or 10330 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11201001300 its reverse (310010211), we get a palindrome (11511011511).

The spelling of 11201001300 in words is "eleven billion, two hundred one million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 419 450 540 675 838 900 1257 1350 1676 2095 2514 2700 3771 4190 5028 6285 7542 8380 9901 10475 11313 12570 15084 18855 19802 20950 22626 25140 29703 31425 37710 39604 41900 45252 49505 56565 59406 62850 75420 89109 94275 99010 113130 118812 125700 148515 178218 188550 198020 226260 247525 267327 282825 297030 356436 377100 445545 495050 534654 565650 594060 742575 891090 990100 1069308 1131300 1336635 1485150 1782180 2227725 2673270 2970300 4148519 4455450 5346540 6683175 8297038 8910900 12445557 13366350 16594076 20742595 24891114 26732700 37336671 41485190 49782228 62227785 74673342 82970380 103712975 112010013 124455570 149346684 186683355 207425950 224020026 248911140 311138925 373366710 414851900 448040052 560050065 622277850 746733420 933416775 1120100130 1244555700 1866833550 2240200260 2800250325 3733667100 5600500650 11201001300