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1001020200210 = 233546324173313
BaseRepresentation
bin11101001000100010111…
…01000001010100010010
310112200210211002222002000
432210101131001110102
5112400042132401320
62043510132534430
7132215133211452
oct16442135012422
93480724088060
101001020200210
11356591896468
12142007781416
137351b7592c4
1436641b31d62
151b08b0d7c90
hexe911741512

1001020200210 has 128 divisors (see below), whose sum is σ = 2677067228160. Its totient is φ = 266171609088.

The previous prime is 1001020200203. The next prime is 1001020200239. The reversal of 1001020200210 is 120020201001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001020200192 and 1001020200201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302147514 + ... + 302150826.

It is an arithmetic number, because the mean of its divisors is an integer number (20914587720).

Almost surely, 21001020200210 is an apocalyptic number.

1001020200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001020200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338533614080).

1001020200210 is an abundant number, since it is smaller than the sum of its proper divisors (1676047027950).

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

1001020200210 is a wasteful number, since it uses less digits than its factorization.

1001020200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001020200210 its reverse (120020201001), we get a palindrome (1121040401211).

The spelling of 1001020200210 in words is "one trillion, one billion, twenty million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 463 926 1389 2315 2417 2778 3313 4167 4630 4834 6626 6945 7251 8334 9939 12085 12501 13890 14502 16565 19878 20835 21753 24170 25002 29817 33130 36255 41670 43506 49695 59634 62505 65259 72510 89451 99390 108765 125010 130518 149085 178902 217530 298170 326295 447255 652590 894510 1119071 1533919 2238142 3067838 3357213 4601757 5595355 6714426 7669595 8007521 9203514 10071639 11190710 13805271 15339190 16015042 16786065 20143278 23008785 24022563 27610542 30214917 33572130 40037605 41415813 46017570 48045126 50358195 60429834 69026355 72067689 80075210 82831626 100716390 120112815 138052710 144135378 151074585 207079065 216203067 240225630 302149170 360338445 414158130 432406134 720676890 1081015335 2162030670 3707482223 7414964446 11122446669 18537411115 22244893338 33367340007 37074822230 55612233345 66734680014 100102020021 111224466690 166836700035 200204040042 333673400070 500510100105 1001020200210