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21230322012200 = 23527216001135389
BaseRepresentation
bin1001101001111000100011…
…10011010101000000101000
32210011121011122101102201002
410310330101303111000220
510240314144413342300
6113053024132414132
74320561112412600
oct464742163250050
983147148342632
1021230322012200
116845802336744
12246a6b3a77348
13bb001a89a8a2
145357a5893c00
1526c3b1aa65d5
hex134f11cd5028

21230322012200 has 144 divisors (see below), whose sum is σ = 57423368223900. Its totient is φ = 7278458880000.

The previous prime is 21230322012169. The next prime is 21230322012257. The reversal of 21230322012200 is 221022303212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14971528921636 + 6258793090564 = 3869306^2 + 2501758^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 156742106 + ... + 156877494.

Almost surely, 221230322012200 is an apocalyptic number.

21230322012200 is a gapful number since it is divisible by the number (20) 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 21230322012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28711684111950).

21230322012200 is an abundant number, since it is smaller than the sum of its proper divisors (36193046211700).

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

21230322012200 is a wasteful number, since it uses less digits than its factorization.

21230322012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151420 (or 151404 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21230322012200 its reverse (221022303212), we get a palindrome (21451344315412).

The spelling of 21230322012200 in words is "twenty-one trillion, two hundred thirty billion, three hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 16001 32002 64004 80005 112007 128008 135389 160010 224014 270778 320020 400025 448028 541556 560035 640040 676945 784049 800050 896056 947723 1083112 1120070 1353890 1568098 1600100 1895446 2240140 2707780 2800175 3136196 3200200 3384725 3790892 3920245 4480280 4738615 5415560 5600350 6272392 6634061 6769450 7581784 7840490 9477230 11200700 13268122 13538900 15680980 18954460 19601225 22401400 23693075 26536244 27077800 31361960 33170305 37908920 39202450 47386150 53072488 66340610 78404900 94772300 132681220 156809800 165851525 189544600 265362440 331703050 663406100 1326812200 2166359389 4332718778 8665437556 10831796945 15164515723 17330875112 21663593890 30329031446 43327187780 54158984725 60658062892 75822578615 86654375560 106151610061 108317969450 121316125784 151645157230 212303220122 216635938900 303290314460 379112893075 424606440244 433271877800 530758050305 606580628920 758225786150 849212880488 1061516100610 1516451572300 2123032201220 2653790251525 3032903144600 4246064402440 5307580503050 10615161006100 21230322012200