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1000002212010 = 2325171721379777
BaseRepresentation
bin11101000110101001100…
…01101101000010101010
310112121011212120210210100
432203110301231002222
5112341001031241020
62043221125530230
7132150662361024
oct16432461550252
93477155523710
101000002212010
1135610a1a68aa
12141982873976
13733b8891619
1436586861014
151b02ba51a90
hexe8d4c6d0aa

1000002212010 has 96 divisors (see below), whose sum is σ = 2754554139792. Its totient is φ = 250834452480.

The previous prime is 1000002212009. The next prime is 1000002212017. The reversal of 1000002212010 is 102122000001.

It can be written as a sum of positive squares in 8 ways, for example, as 627991266681 + 372010945329 = 792459^2 + 609927^2 .

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 = 1000002211983 and 1000002212001.

It is not an unprimeable number, because it can be changed into a prime (1000002212017) 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, 2443242 + ... + 2823018.

Almost surely, 21000002212010 is an apocalyptic number.

1000002212010 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 1000002212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377277069896).

1000002212010 is an abundant number, since it is smaller than the sum of its proper divisors (1754551927782).

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

1000002212010 is a wasteful number, since it uses less digits than its factorization.

1000002212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381528 (or 381525 counting only the distinct ones).

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

Adding to 1000002212010 its reverse (102122000001), we get a palindrome (1102124212011).

The spelling of 1000002212010 in words is "one trillion, two million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1721 3442 5163 8605 10326 15489 17210 25815 29257 30978 51630 58514 77445 87771 146285 154890 175542 263313 292570 379777 438855 526626 759554 877710 1139331 1316565 1898885 2278662 2633130 3417993 3797770 5696655 6456209 6835986 11393310 12912418 17089965 19368627 32281045 34179930 38737254 58105881 64562090 96843135 116211762 193686270 290529405 581058810 653596217 1307192434 1960788651 3267981085 3921577302 5882365953 6535962170 9803943255 11111135689 11764731906 19607886510 22222271378 29411829765 33333407067 55555678445 58823659530 66666814134 100000221201 111111356890 166667035335 200000442402 333334070670 500001106005 1000002212010