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11320311213200 = 24521117151341059
BaseRepresentation
bin1010010010111011011100…
…1000001110110010010000
31111002012200221201020120002
42210232313020032302100
52440432444132310300
640024251300305132
72245602602444003
oct244566710166220
944065627636502
1011320311213200
113674a0a618320
121329b513a21a8
136416682531c2
142b1c9805153a
151497020aa5d5
hexa4bb720ec90

11320311213200 has 120 divisors (see below), whose sum is σ = 31414771870560. Its totient is φ = 3874331084800.

The previous prime is 11320311213191. The next prime is 11320311213209. The reversal of 11320311213200 is 231211302311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11320311213191) and next prime (11320311213209).

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

It is not an unprimeable number, because it can be changed into a prime (11320311213209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75595730 + ... + 75745329.

It is an arithmetic number, because the mean of its divisors is an integer number (261789765588).

Almost surely, 211320311213200 is an apocalyptic number.

11320311213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320311213200 is an abundant number, since it is smaller than the sum of its proper divisors (20094460657360).

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

11320311213200 is a wasteful number, since it uses less digits than its factorization.

11320311213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151341105 (or 151341094 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11320311213200 its reverse (231211302311), we get a palindrome (11551522515511).

It can be divided in two parts, 11320311 and 213200, that added together give a palindrome (11533511).

The spelling of 11320311213200 in words is "eleven trillion, three hundred twenty billion, three hundred eleven million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 151341059 302682118 605364236 756705295 1210728472 1513410590 1664751649 2421456944 2572798003 3026821180 3329503298 3783526475 5145596006 6053642360 6659006596 7567052950 8323758245 10291192012 12107284720 12863990015 13318013192 15134105900 16647516490 20582384024 25727980030 26636026384 28300778033 30268211800 33295032980 41164768048 41618791225 51455960060 56601556066 60536423600 64319950075 66590065960 83237582450 102911920120 113203112132 128639900150 133180131920 141503890165 166475164900 205823840240 226406224264 257279800300 283007780330 332950329800 452812448528 514559600600 566015560660 665900659600 707519450825 1029119201200 1132031121320 1415038901650 2264062242640 2830077803300 5660155606600 11320311213200