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22000221221310 = 232513118311019119
BaseRepresentation
bin1010000000010010100110…
…10111101111000110111110
32212220012102020120120012200
411000021103113233012332
510340422423113040220
6114442432340412330
74430314663621023
oct500112327570676
985805366516180
1022000221221310
117012272375752
1225739596a70a6
13c377c5622697
14560b6025554a
152824224b0890
hex1402535ef1be

22000221221310 has 96 divisors (see below), whose sum is σ = 57668755921920. Its totient is φ = 5818756132800.

The previous prime is 22000221221299. The next prime is 22000221221357. The reversal of 22000221221310 is 1312212200022.

22000221221310 is a `hidden beast` number, since 220 + 0 + 0 + 221 + 2 + 213 + 10 = 666.

It is a super-2 number, since 2×220002212213102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21077931 + ... + 22097049.

It is an arithmetic number, because the mean of its divisors is an integer number (600716207520).

Almost surely, 222000221221310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000221221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28834377960960).

22000221221310 is an abundant number, since it is smaller than the sum of its proper divisors (35668534700610).

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

22000221221310 is a wasteful number, since it uses less digits than its factorization.

22000221221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021094 (or 1021091 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22000221221310 its reverse (1312212200022), we get a palindrome (23312433421332).

The spelling of 22000221221310 in words is "twenty-two trillion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1831 1965 2358 3662 3930 5493 5895 9155 10986 11790 16479 18310 27465 32958 54930 82395 164790 239861 479722 719583 1019119 1199305 1439166 2038238 2158749 2398610 3057357 3597915 4317498 5095595 6114714 7195830 9172071 10191190 10793745 15286785 18344142 21587490 30573570 45860355 91720710 133504589 267009178 400513767 667522945 801027534 1201541301 1335045890 1866006889 2002568835 2403082602 3732013778 4005137670 5598020667 6007706505 9330034445 11196041334 12015413010 16794062001 18660068890 27990103335 33588124002 55980206670 83970310005 167940620010 244446902459 488893804918 733340707377 1222234512295 1466681414754 2200022122131 2444469024590 3666703536885 4400044244262 7333407073770 11000110610655 22000221221310