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2010211210110 = 235418373326863
BaseRepresentation
bin11101010000001001111…
…011001101001101111110
321010011201002001001220010
4131100021323031031332
5230413403032210420
64135251150404050
7265142623233645
oct35201173151576
97104632031803
102010211210110
11705586905104
12285713800626
1311773cc3242c
146d41aab235c
15374546ab4e0
hex1d409ecd37e

2010211210110 has 128 divisors (see below), whose sum is σ = 5008732194816. Its totient is φ = 515956700160.

The previous prime is 2010211210103. The next prime is 2010211210127. The reversal of 2010211210110 is 110121120102.

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, 74818539 + ... + 74845401.

It is an arithmetic number, because the mean of its divisors is an integer number (39130720272).

Almost surely, 22010211210110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010211210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504366097408).

2010211210110 is an abundant number, since it is smaller than the sum of its proper divisors (2998520984706).

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

2010211210110 is a wasteful number, since it uses less digits than its factorization.

2010211210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27730.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2010211210110 its reverse (110121120102), we get a palindrome (2120332330212).

The spelling of 2010211210110 in words is "two trillion, ten billion, two hundred eleven million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 83 123 166 205 246 249 410 415 498 615 733 830 1230 1245 1466 2199 2490 3403 3665 4398 6806 7330 10209 10995 17015 20418 21990 26863 30053 34030 51045 53726 60106 60839 80589 90159 102090 121678 134315 150265 161178 180318 182517 268630 300530 304195 365034 402945 450795 608390 805890 901590 912585 1101383 1825170 2202766 2229629 2494399 3304149 4459258 4988798 5506915 6608298 6688887 7483197 11013830 11148145 12471995 13377774 14966394 16520745 19690579 22296290 24943990 33041490 33444435 37415985 39381158 59071737 66888870 74831970 91414789 98452895 118143474 182829578 196905790 274244367 295358685 457073945 548488734 590717370 807313739 914147890 1371221835 1614627478 1634318057 2421941217 2742443670 3268636114 4036568695 4843882434 4902954171 8073137390 8171590285 9805908342 12109706085 16343180570 24219412170 24514770855 49029541710 67007040337 134014080674 201021121011 335035201685 402042242022 670070403370 1005105605055 2010211210110