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11021231200 = 2552719103583
BaseRepresentation
bin10100100001110101…
…01010010001100000
31001110002101112222011
422100322222101200
5140032413344300
65021343122304
7540054630250
oct122072522140
931402345864
1011021231200
11474621a141
122176ba3394
13106844c2a5
14767a39960
15447884eba
hex290eaa460

11021231200 has 144 divisors (see below), whose sum is σ = 32367928320. Its totient is φ = 3579793920.

The previous prime is 11021231173. The next prime is 11021231209. The reversal of 11021231200 is 213212011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021231209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54609 + ... + 158191.

It is an arithmetic number, because the mean of its divisors is an integer number (224777280).

Almost surely, 211021231200 is an apocalyptic number.

11021231200 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 11021231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183964160).

11021231200 is an abundant number, since it is smaller than the sum of its proper divisors (21346697120).

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

11021231200 is a wasteful number, since it uses less digits than its factorization.

11021231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103629 (or 103616 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11021231200 its reverse (213212011), we get a palindrome (11234443211).

The spelling of 11021231200 in words is "eleven billion, twenty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 133 140 152 160 175 190 200 224 266 280 304 350 380 400 475 532 560 608 665 700 760 800 950 1064 1120 1330 1400 1520 1900 2128 2660 2800 3040 3325 3800 4256 5320 5600 6650 7600 10640 13300 15200 21280 26600 53200 103583 106400 207166 414332 517915 725081 828664 1035830 1450162 1657328 1968077 2071660 2589575 2900324 3314656 3625405 3936154 4143320 5179150 5800648 7250810 7872308 8286640 9840385 10358300 11601296 13776539 14501620 15744616 16573280 18127025 19680770 20716600 23202592 27553078 29003240 31489232 36254050 39361540 41433200 49201925 55106156 58006480 62978464 68882695 72508100 78723080 82866400 98403850 110212312 116012960 137765390 145016200 157446160 196807700 220424624 275530780 290032400 314892320 344413475 393615400 440849248 551061560 580064800 688826950 787230800 1102123120 1377653900 1574461600 2204246240 2755307800 5510615600 11021231200