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1000011212220 = 223537259206347
BaseRepresentation
bin11101000110101010101…
…00000010010110111100
310112121012111112001202110
432203111110002112330
5112341010332242340
62043222050454020
7132151132024506
oct16432524022674
93477174461673
101000011212220
11356114293899
12141985894310
13733ba6c30a7
1436587b24d76
151b02c72d680
hexe8d55025bc

1000011212220 has 144 divisors (see below), whose sum is σ = 2926542890880. Its totient is φ = 255063465216.

The previous prime is 1000011212209. The next prime is 1000011212237. The reversal of 1000011212220 is 222121100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000011212196 and 1000011212205.

It is a congruent number.

It is an unprimeable number.

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, 4743087 + ... + 4949433.

It is an arithmetic number, because the mean of its divisors is an integer number (20323214520).

Almost surely, 21000011212220 is an apocalyptic number.

1000011212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000011212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463271445440).

1000011212220 is an abundant number, since it is smaller than the sum of its proper divisors (1926531678660).

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

1000011212220 is a wasteful number, since it uses less digits than its factorization.

1000011212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206492 (or 206453 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000011212220 its reverse (222121100001), we get a palindrome (1222132312221).

The spelling of 1000011212220 in words is "one trillion, eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 59 60 74 111 118 148 177 185 222 236 295 354 370 444 555 590 708 740 885 1110 1180 1369 1770 2183 2220 2738 3540 4107 4366 5476 6549 6845 8214 8732 10915 13098 13690 16428 20535 21830 26196 27380 32745 41070 43660 65490 80771 82140 130980 161542 206347 242313 323084 403855 412694 484626 619041 807710 825388 969252 1031735 1211565 1238082 1615420 2063470 2423130 2476164 3095205 4126940 4846260 6190410 7634839 12174473 12380820 15269678 22904517 24348946 30539356 36523419 38174195 45809034 48697892 60872365 73046838 76348390 91618068 114522585 121744730 146093676 152696780 182617095 229045170 243489460 282489043 365234190 450455501 458090340 564978086 730468380 847467129 900911002 1129956172 1351366503 1412445215 1694934258 1801822004 2252277505 2702733006 2824890430 3389868516 4237335645 4504555010 5405466012 5649780860 6756832515 8474671290 9009110020 13513665030 16666853537 16949342580 27027330060 33333707074 50000560611 66667414148 83334267685 100001121222 166668535370 200002242444 250002803055 333337070740 500005606110 1000011212220