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100012021312300 = 2252241257115114029
BaseRepresentation
bin10110101111010111011101…
…000000001110101100101100
3111010010001111201112110121121
4112233113131000032230230
5101102044104423443200
6552412515513110324
730031426056462046
oct2657273500165454
9433101451473547
10100012021312300
11299599507a5019
12b272bbb6b83a4
1343a61298302a6
141a9a8715baa96
15b8681ed4ee1a
hex5af5dd00eb2c

100012021312300 has 144 divisors (see below), whose sum is σ = 218980254366720. Its totient is φ = 39646494720000.

The previous prime is 100012021312183. The next prime is 100012021312331. The reversal of 100012021312300 is 3213120210001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7128941686 + ... + 7128955714.

It is an arithmetic number, because the mean of its divisors is an integer number (1520696210880).

Almost surely, 2100012021312300 is an apocalyptic number.

100012021312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012021312300 is an abundant number, since it is smaller than the sum of its proper divisors (118968233054420).

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

100012021312300 is a wasteful number, since it uses less digits than its factorization.

100012021312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15692 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100012021312300 its reverse (3213120210001), we get a palindrome (103225141522301).

The spelling of 100012021312300 in words is "one hundred trillion, twelve billion, twenty-one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 257 482 514 964 1028 1151 1205 1285 2302 2410 2570 4604 4820 5140 5755 6025 6425 11510 12050 12850 14029 23020 24100 25700 28058 28775 56116 57550 61937 70145 115100 123874 140290 247748 277391 280580 295807 309685 350725 554782 591614 619370 701450 1109564 1183228 1238740 1386955 1402900 1479035 1548425 2773910 2958070 3096850 3380989 3605453 5547820 5916140 6193700 6761978 6934775 7210906 7395175 13523956 13869550 14421812 14790350 16147379 16904945 18027265 27739100 29580700 32294758 33809890 36054530 64589516 67619780 71289487 72109060 80736895 84524725 90136325 142578974 161473790 169049450 180272650 285157948 322947580 338098900 356447435 360545300 403684475 712894870 807368950 868914173 1425789740 1614737900 1737828346 1782237175 3475656692 3564474350 3891518339 4149876403 4344570865 7128948700 7783036678 8299752806 8689141730 15566073356 16599505612 17378283460 19457591695 20749382015 21722854325 38915183390 41498764030 43445708650 77830366780 82997528060 86891417300 97287958475 103746910075 194575916950 207493820150 389151833900 414987640300 1000120213123 2000240426246 4000480852492 5000601065615 10001202131230 20002404262460 25003005328075 50006010656150 100012021312300