[go: up one dir, main page]

Search a number
-
+
1612012122 = 2327431132633
BaseRepresentation
bin110000000010101…
…0101101001011010
311011100021200220200
41200011111221122
511300133341442
6423543003030
754642606540
oct14005255132
94140250820
101612012122
11757a36626
1238ba39476
131c8c80436
1411413dd90
15967c334c
hex60155a5a

1612012122 has 96 divisors (see below), whose sum is σ = 4122188928. Its totient is φ = 445713408.

The previous prime is 1612012111. The next prime is 1612012123. The reversal of 1612012122 is 2212102161.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1612012095 and 1612012104.

It is not an unprimeable number, because it can be changed into a prime (1612012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610918 + ... + 613550.

It is an arithmetic number, because the mean of its divisors is an integer number (42939468).

Almost surely, 21612012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061094464).

1612012122 is an abundant number, since it is smaller than the sum of its proper divisors (2510176806).

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

1612012122 is a wasteful number, since it uses less digits than its factorization.

1612012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1612012122 is about 40149.8707594433. The cubic root of 1612012122 is about 1172.5267723469.

Adding to 1612012122 its reverse (2212102161), we get a palindrome (3824114283).

The spelling of 1612012122 in words is "one billion, six hundred twelve million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 113 126 129 226 258 301 339 387 602 678 774 791 903 1017 1582 1806 2034 2373 2633 2709 4746 4859 5266 5418 7119 7899 9718 14238 14577 15798 18431 23697 29154 34013 36862 43731 47394 55293 68026 87462 102039 110586 113219 165879 204078 226438 297529 306117 331758 339657 595058 612234 679314 792533 892587 1018971 1585066 1785174 2037942 2082703 2377599 2677761 4165406 4755198 5355522 6248109 7132797 12496218 12793747 14265594 18744327 25587494 37488654 38381241 76762482 89556229 115143723 179112458 230287446 268668687 537337374 806006061 1612012122