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10221211021000 = 235372236547861
BaseRepresentation
bin1001010010111100111110…
…1001101110111011001000
31100012010201202210110002011
42110233033221232323020
52314431020010133000
633423320504545304
72103313065114550
oct224571751567310
940163652713064
1010221211021000
113290878178241
121190b32a82234
13591b18a04ca5
142749d0294160
1512ad255e92ba
hex94bcfa6eec8

10221211021000 has 128 divisors (see below), whose sum is σ = 27457018767360. Its totient is φ = 3488699808000.

The previous prime is 10221211020959. The next prime is 10221211021033. The reversal of 10221211021000 is 12011212201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712931 + ... + 4834930.

It is an arithmetic number, because the mean of its divisors is an integer number (214507959120).

Almost surely, 210221211021000 is an apocalyptic number.

10221211021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221211021000 is an abundant number, since it is smaller than the sum of its proper divisors (17235807746360).

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

10221211021000 is a wasteful number, since it uses less digits than its factorization.

10221211021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548112 (or 6548098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221211021000 its reverse (12011212201), we get a palindrome (10233222233201).

The spelling of 10221211021000 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 223 250 280 350 446 500 700 875 892 1000 1115 1400 1561 1750 1784 2230 3122 3500 4460 5575 6244 7000 7805 8920 11150 12488 15610 22300 27875 31220 39025 44600 55750 62440 78050 111500 156100 195125 223000 312200 390250 780500 1561000 6547861 13095722 26191444 32739305 45835027 52382888 65478610 91670054 130957220 163696525 183340108 229175135 261914440 327393050 366680216 458350270 654786100 818482625 916700540 1145875675 1309572200 1460173003 1636965250 1833401080 2291751350 2920346006 3273930500 4583502700 5729378375 5840692012 6547861000 7300865015 9167005400 10221211021 11458756750 11681384024 14601730030 20442422042 22917513500 29203460060 36504325075 40884844084 45835027000 51106055105 58406920120 73008650150 81769688168 102212110210 146017300300 182521625375 204424220420 255530275525 292034600600 365043250750 408848440840 511060551050 730086501500 1022121102100 1277651377625 1460173003000 2044242204200 2555302755250 5110605510500 10221211021000