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2105450334 = 234132531451
BaseRepresentation
bin111110101111110…
…1001111101011110
312102201202221220000
41331133221331132
513302443402314
6544531035130
7103114014111
oct17537517536
95381687800
102105450334
11990520aa9
124a913baa6
13277278900
1415d8a8578
15c4c92209
hex7d7e9f5e

2105450334 has 120 divisors (see below), whose sum is σ = 5208565032. Its totient is φ = 635169600.

The previous prime is 2105450297. The next prime is 2105450339. The reversal of 2105450334 is 4330545012.

It is a super-3 number, since 3×21054503343 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2105450298 and 2105450307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105450339) 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 59 ways as a sum of consecutive naturals, for example, 1450309 + ... + 1451759.

Almost surely, 22105450334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105450334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604282516).

2105450334 is an abundant number, since it is smaller than the sum of its proper divisors (3103114698).

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

2105450334 is a wasteful number, since it uses less digits than its factorization.

2105450334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2105450334 is about 45885.1864330962. The cubic root of 2105450334 is about 1281.6860784144.

Adding to 2105450334 its reverse (4330545012), we get a palindrome (6435995346).

The spelling of 2105450334 in words is "two billion, one hundred five million, four hundred fifty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 106 117 159 162 169 234 318 338 351 477 507 689 702 954 1014 1053 1378 1431 1451 1521 2067 2106 2862 2902 3042 4134 4293 4353 4563 6201 8586 8706 8957 9126 12402 13059 13689 17914 18603 18863 26118 26871 27378 37206 37726 39177 53742 55809 56589 76903 78354 80613 111618 113178 117531 153806 161226 169767 230709 235062 241839 245219 339534 461418 483678 490438 509301 692127 725517 735657 999739 1018602 1384254 1451034 1471314 1527903 1999478 2076381 2206971 2999217 3055806 4152762 4413942 5998434 6229143 6620913 8997651 12458286 12996607 13241826 17995302 19862739 25993214 26992953 38989821 39725478 53985906 77979642 80978859 116969463 161957718 233938926 350908389 701816778 1052725167 2105450334