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1001110210002 = 233731325326263
BaseRepresentation
bin11101001000101101101…
…00011000010111010010
310112201001002110221022000
432210112310120113102
5112400233203210002
62043523110054430
7132220305244620
oct16442664302722
93481032427260
101001110210002
11356628684121
1214203194a416
13735342b2836
143664da82510
151b093e6761c
hexe916d185d2

1001110210002 has 128 divisors (see below), whose sum is σ = 2625425080320. Its totient is φ = 276709037760.

The previous prime is 1001110209929. The next prime is 1001110210123. The reversal of 1001110210002 is 2000120111001.

It is a happy number.

It is a super-3 number, since 3×10011102100023 (a number of 37 digits) contains 333 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 38105523 + ... + 38131785.

It is an arithmetic number, because the mean of its divisors is an integer number (20511133440).

Almost surely, 21001110210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001110210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312712540160).

1001110210002 is an abundant number, since it is smaller than the sum of its proper divisors (1624314870318).

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

1001110210002 is a wasteful number, since it uses less digits than its factorization.

1001110210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29565 (or 29559 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001110210002 its reverse (2000120111001), we get a palindrome (3001230321003).

Subtracting 1001110210002 from its reverse (2000120111001), we obtain a palindrome (999009900999).

The spelling of 1001110210002 in words is "one trillion, one billion, one hundred ten million, two hundred ten thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3253 3906 5859 6506 9759 11718 19518 22771 26263 29277 45542 52526 58554 68313 78789 87831 100843 136626 157578 175662 183841 201686 204939 236367 302529 367682 409878 472734 551523 605058 614817 705901 709101 814153 907587 1103046 1229634 1411802 1418202 1628306 1654569 1815174 2117703 2442459 2722761 3309138 4235406 4884918 4963707 5445522 5699071 6353109 7327377 9927414 11398142 12706218 14654754 17097213 19059327 21982131 34194426 38118654 43964262 51291639 85433539 102583278 153874917 170867078 256300617 307749834 512601234 598034773 768901851 1196069546 1537803702 1794104319 2306705553 2648439709 3588208638 4613411106 5296879418 5382312957 7945319127 10764625914 15890638254 16146938871 18539077963 23835957381 32293877742 37078155926 47671914762 55617233889 71507872143 111234467778 143015744286 166851701667 333703403334 500555105001 1001110210002