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10221121020300 = 22352233147784577
BaseRepresentation
bin1001010010111100101001…
…0010011010000110001100
31100012010111111102221022220
42110233022102122012030
52314430323440122200
633423303531535340
72103310623120051
oct224571222320614
940163444387286
1010221121020300
1132908313963a3
121190b088ba550
13591b03182938
142749c2347028
1512ad1c76c4a0
hex94bca49a18c

10221121020300 has 144 divisors (see below), whose sum is σ = 31854346524672. Its totient is φ = 2523025612800.

The previous prime is 10221121020247. The next prime is 10221121020301. The reversal of 10221121020300 is 302012112201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221121020300.

It is not an unprimeable number, because it can be changed into a prime (10221121020301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23678389 + ... + 24106188.

Almost surely, 210221121020300 is an apocalyptic number.

10221121020300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221121020300 is an abundant number, since it is smaller than the sum of its proper divisors (21633225504372).

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

10221121020300 is a wasteful number, since it uses less digits than its factorization.

10221121020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47784648 (or 47784641 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10221121020300 its reverse (302012112201), we get a palindrome (10523133132501).

The spelling of 10221121020300 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 31 46 50 60 62 69 75 92 93 100 115 124 138 150 155 186 230 276 300 310 345 372 460 465 575 620 690 713 775 930 1150 1380 1426 1550 1725 1860 2139 2300 2325 2852 3100 3450 3565 4278 4650 6900 7130 8556 9300 10695 14260 17825 21390 35650 42780 53475 71300 106950 213900 47784577 95569154 143353731 191138308 238922885 286707462 477845770 573414924 716768655 955691540 1099045271 1194614425 1433537310 1481321887 2198090542 2389228850 2867074620 2962643774 3297135813 3583843275 4396181084 4443965661 4778457700 5495226355 5925287548 6594271626 7167686550 7406609435 8887931322 10990452710 13188543252 14335373100 14813218870 16485679065 17775862644 21980905420 22219828305 27476131775 29626437740 32971358130 34070403401 37033047175 44439656610 54952263550 65942716260 68140806802 74066094350 82428395325 88879313220 102211210203 109904527100 111099141525 136281613604 148132188700 164856790650 170352017005 204422420406 222198283050 329713581300 340704034010 408844840812 444396566100 511056051015 681408068020 851760085025 1022112102030 1703520170050 2044224204060 2555280255075 3407040340100 5110560510150 10221121020300