Search a number
-
+
2101020102 = 232318634363
BaseRepresentation
bin111110100111011…
…0000010111000110
312102102102212202100
41331032300113012
513300330120402
6544252052530
7103031243016
oct17516602706
95372385670
102101020102
11988a75555
124a7764146
1327638727c
1415d073c46
15c46b971c
hex7d3b05c6

2101020102 has 48 divisors (see below), whose sum is σ = 4705579008. Its totient is φ = 676807920.

The previous prime is 2101020049. The next prime is 2101020137. The reversal of 2101020102 is 2010201012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479373 + ... + 483735.

It is an arithmetic number, because the mean of its divisors is an integer number (98032896).

Almost surely, 22101020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352789504).

2101020102 is an abundant number, since it is smaller than the sum of its proper divisors (2604558906).

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

2101020102 is a wasteful number, since it uses less digits than its factorization.

2101020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101020102 is about 45836.8858235374. The cubic root of 2101020102 is about 1280.7864840198.

Adding to 2101020102 its reverse (2010201012), we get a palindrome (4111221114).

The spelling of 2101020102 in words is "two billion, one hundred one million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 863 1726 2589 4363 5178 7767 8726 13089 15534 26178 26753 39267 53506 78534 80259 135253 160518 240777 270506 405759 481554 811518 1217277 2434554 3765269 7530538 11295807 22591614 33887421 67774842 116723339 233446678 350170017 700340034 1050510051 2101020102