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11323303031200 = 2552101154390823
BaseRepresentation
bin1010010011000110100101…
…1101000111000110100000
31111002111102110100100022011
42210301221131013012200
52441010111033444300
640025504213322304
72246040001461316
oct244615135070640
944074373310264
1011323303031200
1136762053aa486
12132a647336394
13641a24031504
142b209d5280b6
15149829a84eba
hexa4c697471a0

11323303031200 has 144 divisors (see below), whose sum is σ = 27935106788736. Its totient is φ = 4481520768000.

The previous prime is 11323303031179. The next prime is 11323303031213. The reversal of 11323303031200 is 213030332311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124628989 + ... + 124719811.

It is an arithmetic number, because the mean of its divisors is an integer number (193993797144).

Almost surely, 211323303031200 is an apocalyptic number.

11323303031200 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 11323303031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967553394368).

11323303031200 is an abundant number, since it is smaller than the sum of its proper divisors (16611803757536).

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

11323303031200 is a wasteful number, since it uses less digits than its factorization.

11323303031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92487 (or 92474 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 11323303031200 its reverse (213030332311), we get a palindrome (11536333363511).

The spelling of 11323303031200 in words is "eleven trillion, three hundred twenty-three billion, three hundred three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 400 404 505 800 808 1010 1543 1616 2020 2525 3086 3232 4040 5050 6172 7715 8080 10100 12344 15430 16160 20200 24688 30860 38575 40400 49376 61720 77150 80800 90823 123440 154300 155843 181646 246880 308600 311686 363292 454115 617200 623372 726584 779215 908230 1234400 1246744 1453168 1558430 1816460 2270575 2493488 2906336 3116860 3632920 3896075 4541150 4986976 6233720 7265840 7792150 9082300 9173123 12467440 14531680 15584300 18164600 18346246 24934880 31168600 36329200 36692492 45865615 62337200 72658400 73384984 91731230 124674400 140139889 146769968 183462460 229328075 280279778 293539936 366924920 458656150 560559556 700699445 733849840 917312300 1121119112 1401398890 1467699680 1834624600 2242238224 2802797780 3503497225 3669249200 4484476448 5605595560 7006994450 7338498400 11211191120 14013988900 14154128789 22422382240 28027977800 28308257578 56055955600 56616515156 70770643945 112111911200 113233030312 141541287890 226466060624 283082575780 353853219725 452932121248 566165151560 707706439450 1132330303120 1415412878900 2264660606240 2830825757800 5661651515600 11323303031200