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1000200212010 = 2325103823713099
BaseRepresentation
bin11101000111000001001…
…01000000111000101010
310112121200200011020201200
432203200211000320222
5112341402223241020
62043252521425030
7132155615345346
oct16434045007052
93477620136650
101000200212010
11356200a4316a
12141a1903b176
137341a8c849c
14365a4c82626
151b03e113590
hexe8e0940e2a

1000200212010 has 96 divisors (see below), whose sum is σ = 2626287580800. Its totient is φ = 264078313344.

The previous prime is 1000200211973. The next prime is 1000200212023. The reversal of 1000200212010 is 102120020001.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000200211983 and 1000200212001.

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, 76350441 + ... + 76363539.

It is an arithmetic number, because the mean of its divisors is an integer number (27357162300).

Almost surely, 21000200212010 is an apocalyptic number.

1000200212010 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 1000200212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313143790400).

1000200212010 is an abundant number, since it is smaller than the sum of its proper divisors (1626087368790).

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

1000200212010 is a wasteful number, since it uses less digits than its factorization.

1000200212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21452 (or 21449 counting only the distinct ones).

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

Adding to 1000200212010 its reverse (102120020001), we get a palindrome (1102320232011).

The spelling of 1000200212010 in words is "one trillion, two hundred million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 8237 9270 13099 16474 24711 26198 39297 41185 49422 65495 74133 78594 82370 117891 123555 130990 148266 196485 235782 247110 370665 392970 589455 741330 848411 1178910 1349197 1696822 2545233 2698394 4047591 4242055 5090466 6745985 7635699 8095182 8484110 12142773 12726165 13491970 15271398 20237955 24285546 25452330 38178495 40475910 60713865 76356990 107896463 121427730 215792926 323689389 539482315 647378778 971068167 1078964630 1618446945 1942136334 3236893890 4855340835 9710681670 11113335689 22226671378 33340007067 55566678445 66680014134 100020021201 111133356890 166700035335 200040042402 333400070670 500100106005 1000200212010