Search a number
-
+
1210001002110 = 2335113118133581
BaseRepresentation
bin10001100110111001101…
…011100000111001111110
311021200020001100122202000
4101212321223200321332
5124311040224031420
62323511120443130
7153263644550415
oct21467153407176
94250201318660
101210001002110
11427182025a9a
1217660aa794a6
138a144566334
14427c886c47c
152171cbe5690
hex119b9ae0e7e

1210001002110 has 128 divisors (see below), whose sum is σ = 3258077281920. Its totient is φ = 319531161600.

The previous prime is 1210001002097. The next prime is 1210001002153. The reversal of 1210001002110 is 112001000121.

It is a happy number.

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 = 1210001002092 and 1210001002101.

It is a congruent number.

It is an unprimeable number.

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, 36015520 + ... + 36049100.

It is an arithmetic number, because the mean of its divisors is an integer number (25453728765).

Almost surely, 21210001002110 is an apocalyptic number.

1210001002110 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 1210001002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629038640960).

1210001002110 is an abundant number, since it is smaller than the sum of its proper divisors (2048076279810).

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

1210001002110 is a wasteful number, since it uses less digits than its factorization.

1210001002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34891 (or 34885 counting only the distinct ones).

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

Adding to 1210001002110 its reverse (112001000121), we get a palindrome (1322002002231).

The spelling of 1210001002110 in words is "one trillion, two hundred ten billion, one million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1181 1695 2034 2362 3051 3390 3543 5085 5905 6102 7086 10170 10629 11810 15255 17715 21258 30510 31887 33581 35430 53145 63774 67162 100743 106290 133453 159435 167905 201486 266906 302229 318870 335810 400359 503715 604458 667265 800718 906687 1007430 1201077 1334530 1511145 1813374 2001795 2402154 3022290 3603231 3794653 4003590 4533435 6005385 7206462 7589306 9066870 11383959 12010770 18016155 18973265 22767918 34151877 36032310 37946530 39659161 56919795 68303754 79318322 102455631 113839590 118977483 170759385 198295805 204911262 237954966 341518770 356932449 396591610 512278155 594887415 713864898 1024556310 1070797347 1189774830 1784662245 2141594694 3569324490 4481485193 5353986735 8962970386 10707973470 13444455579 22407425965 26888911158 40333366737 44814851930 67222277895 80666733474 121000100211 134444555790 201666833685 242000200422 403333667370 605000501055 1210001002110