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10222022021000 = 2353171931647127
BaseRepresentation
bin1001010010111111111111…
…1111011100111110001000
31100012012211021211111221012
42110233333333130332020
52314434200114133000
633423533155303052
72103342143364206
oct224577777347610
940165737744835
1010222022021000
113291153a41579
12119111a5aaa88
13591c17a3994a
14274a69c84076
1512ad718e5735
hex94bfffdcf88

10222022021000 has 128 divisors (see below), whose sum is σ = 26659540627200. Its totient is φ = 3645748915200.

The previous prime is 10222022020963. The next prime is 10222022021027. The reversal of 10222022021000 is 12022022201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15500564 + ... + 16146563.

It is an arithmetic number, because the mean of its divisors is an integer number (208277661150).

Almost surely, 210222022021000 is an apocalyptic number.

10222022021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022021000 is an abundant number, since it is smaller than the sum of its proper divisors (16437518606200).

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

10222022021000 is a wasteful number, since it uses less digits than its factorization.

10222022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31647184 (or 31647170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10222022021000 its reverse (12022022201), we get a palindrome (10234044043201).

The spelling of 10222022021000 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 125 136 152 170 190 200 250 323 340 380 425 475 500 646 680 760 850 950 1000 1292 1615 1700 1900 2125 2375 2584 3230 3400 3800 4250 4750 6460 8075 8500 9500 12920 16150 17000 19000 32300 40375 64600 80750 161500 323000 31647127 63294254 126588508 158235635 253177016 316471270 538001159 601295413 632942540 791178175 1076002318 1202590826 1265885080 1582356350 2152004636 2405181652 2690005795 3006477065 3164712700 3955890875 4304009272 4810363304 5380011590 6012954130 6329425400 7911781750 10222022021 10760023180 12025908260 13450028975 15032385325 15823563500 20444044042 21520046360 24051816520 26900057950 30064770650 31647127000 40888088084 51110110105 53800115900 60129541300 67250144875 75161926625 81776176168 102220220210 107600231800 120259082600 134500289750 150323853250 204440440420 255550550525 269000579500 300647706500 408880880840 511101101050 538001159000 601295413000 1022202202100 1277752752625 2044404404200 2555505505250 5111011010500 10222022021000