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11341402200 = 2332528375913
BaseRepresentation
bin10101001000000000…
…00001000001011000
31002021101211221000100
422210000001001120
5141211344332300
65113221335400
7551023220352
oct124400010130
932241757010
1011341402200
11489aa20377
122246267560
1310b989029b
147983800d2
15465a2a700
hex2a4001058

11341402200 has 144 divisors (see below), whose sum is σ = 38547610920. Its totient is φ = 2987896320.

The previous prime is 11341402169. The next prime is 11341402201. The reversal of 11341402200 is 220414311.

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 (11341402201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111444 + ... + 187356.

Almost surely, 211341402200 is an apocalyptic number.

11341402200 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 11341402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273805460).

11341402200 is an abundant number, since it is smaller than the sum of its proper divisors (27206208720).

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

11341402200 is a wasteful number, since it uses less digits than its factorization.

11341402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76018 (or 76006 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11341402200 its reverse (220414311), we get a palindrome (11561816511).

The spelling of 11341402200 in words is "eleven billion, three hundred forty-one million, four hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 83 90 100 120 150 166 180 200 225 249 300 332 360 415 450 498 600 664 747 830 900 996 1245 1494 1660 1800 1992 2075 2490 2988 3320 3735 4150 4980 5976 6225 7470 8300 9960 12450 14940 16600 18675 24900 29880 37350 49800 74700 75913 149400 151826 227739 303652 379565 455478 607304 683217 759130 910956 1138695 1366434 1518260 1821912 1897825 2277390 2732868 3036520 3416085 3795650 4554780 5465736 5693475 6300779 6832170 7591300 9109560 11386950 12601558 13664340 15182600 17080425 18902337 22773900 25203116 27328680 31503895 34160850 37804674 45547800 50406232 56707011 63007790 68321700 75609348 94511685 113414022 126015580 136643400 151218696 157519475 189023370 226828044 252031160 283535055 315038950 378046740 453656088 472558425 567070110 630077900 756093480 945116850 1134140220 1260155800 1417675275 1890233700 2268280440 2835350550 3780467400 5670701100 11341402200