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22203103020032 = 210114345840841
BaseRepresentation
bin1010000110001100100000…
…00100011000010000000000
32220121121002102110210101002
411003012100010120100000
510402233423333120112
6115115544213431132
74451056406510414
oct503062004302000
986547072423332
1022203103020032
117090312903990
1225a713a33b4a8
13c509889abaac
1456a8c8d70d44
1528784892b1c2
hex143190118400

22203103020032 has 88 divisors (see below), whose sum is σ = 49545515487072. Its totient is φ = 9857614233600.

The previous prime is 22203103020031. The next prime is 22203103020041. The reversal of 22203103020032 is 23002030130222.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 22203103019986 and 22203103020013.

It is not an unprimeable number, because it can be changed into a prime (22203103020031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22436069 + ... + 23404772.

It is an arithmetic number, because the mean of its divisors is an integer number (563017221444).

Almost surely, 222203103020032 is an apocalyptic number.

22203103020032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22203103020032 is an abundant number, since it is smaller than the sum of its proper divisors (27342412467040).

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

22203103020032 is a wasteful number, since it uses less digits than its factorization.

22203103020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45840915 (or 45840897 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22203103020032 its reverse (23002030130222), we get a palindrome (45205133150254).

The spelling of 22203103020032 in words is "twenty-two trillion, two hundred three billion, one hundred three million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 473 512 688 704 946 1024 1376 1408 1892 2752 2816 3784 5504 5632 7568 11008 11264 15136 22016 30272 44032 60544 121088 242176 484352 45840841 91681682 183363364 366726728 504249251 733453456 1008498502 1466906912 1971156163 2016997004 2933813824 3942312326 4033994008 5867627648 7884624652 8067988016 11735255296 15769249304 16135976032 21682717793 23470510592 31538498608 32271952064 43365435586 46941021184 63076997216 64543904128 86730871172 126153994432 129087808256 173461742344 252307988864 258175616512 346923484688 504615977728 516351233024 693846969376 1009231955456 1387693938752 2018463910912 2775387877504 5550775755008 11101551510016 22203103020032