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11120202002010 = 23517593283312979
BaseRepresentation
bin1010000111010001111110…
…1100001010111001011010
31110101002011222221001110210
42201310133230022321122
52424143133203031020
635352314505351550
72225256654302013
oct241643754127132
943332158831423
1011120202002010
1135a8062144142
1212b72051985b6
13628827416a2a
142a631366200a
151443de2623e0
hexa1d1fb0ae5a

11120202002010 has 128 divisors (see below), whose sum is σ = 28318222183680. Its totient is φ = 2785048068096.

The previous prime is 11120202001967. The next prime is 11120202002011. The reversal of 11120202002010 is 1020020202111.

It is not an unprimeable number, because it can be changed into a prime (11120202002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 856777701 + ... + 856790679.

It is an arithmetic number, because the mean of its divisors is an integer number (221236110810).

Almost surely, 211120202002010 is an apocalyptic number.

11120202002010 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 11120202002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159111091840).

11120202002010 is an abundant number, since it is smaller than the sum of its proper divisors (17198020181670).

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

11120202002010 is a wasteful number, since it uses less digits than its factorization.

11120202002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16432.

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

Adding to 11120202002010 its reverse (1020020202111), we get a palindrome (12140222204121).

The spelling of 11120202002010 in words is "eleven trillion, one hundred twenty billion, two hundred two million, two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 593 1186 1779 2833 2965 3558 5666 5930 8499 8895 10081 12979 14165 16998 17790 20162 25958 28330 30243 38937 42495 48161 50405 60486 64895 77874 84990 96322 100810 129790 144483 151215 194685 220643 240805 288966 302430 389370 441286 481610 661929 722415 1103215 1323858 1444830 1679969 2206430 3309645 3359938 5039907 6619290 7696547 8399845 10079814 15393094 16799690 23089641 25199535 28559473 36769507 38482735 46179282 50399070 57118946 73539014 76965470 85678419 110308521 115448205 130841299 142797365 171356838 183847535 220617042 230896410 261682598 285594730 367695070 392523897 428392095 551542605 625081619 654206495 785047794 856784190 1103085210 1250163238 1308412990 1875244857 1962619485 3125408095 3750489714 3925238970 6250816190 9376224285 18752448570 21804317651 43608635302 65412952953 109021588255 130825905906 218043176510 327064764765 370673400067 654129529530 741346800134 1112020200201 1853367000335 2224040400402 3706734000670 5560101001005 11120202002010