Search a number
-
+
2101003242 = 2313171989937
BaseRepresentation
bin111110100111010…
…1100001111101010
312102102102000121220
41331032230033222
513300324100432
6544251442510
7103031142612
oct17516541752
95372360556
102101003242
11988a63918
124a7756436
1327637c6b0
1415d06ba42
15c46b472c
hex7d3ac3ea

2101003242 has 128 divisors (see below), whose sum is σ = 5105721600. Its totient is φ = 569327616.

The previous prime is 2101003213. The next prime is 2101003273. The reversal of 2101003242 is 2423001012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2241798 + ... + 2242734.

It is an arithmetic number, because the mean of its divisors is an integer number (39888450).

Almost surely, 22101003242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101003242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552860800).

2101003242 is an abundant number, since it is smaller than the sum of its proper divisors (3004718358).

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

2101003242 is a wasteful number, since it uses less digits than its factorization.

2101003242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2101003242 is about 45836.7019101506. The cubic root of 2101003242 is about 1280.7830580463.

Adding to 2101003242 its reverse (2423001012), we get a palindrome (4524004254).

The spelling of 2101003242 in words is "two billion, one hundred one million, three thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 89 102 114 178 221 247 267 323 442 494 534 646 663 741 937 969 1157 1326 1482 1513 1691 1874 1938 2314 2811 3026 3382 3471 4199 4539 5073 5622 6942 8398 9078 10146 12181 12597 15929 17803 19669 21983 24362 25194 28747 31858 35606 36543 39338 43966 47787 53409 57494 59007 65949 73086 83393 86241 95574 106818 118014 131898 166786 172482 207077 231439 250179 302651 373711 414154 462878 500358 605302 621231 694317 747422 907953 1084109 1121133 1242462 1388634 1417681 1584467 1815906 2168218 2242266 2835362 3168934 3252327 3934463 4253043 4753401 6504654 7868926 8506086 9506802 11803389 18429853 20598071 23606778 26935939 36859706 41196142 53871878 55289559 61794213 80807817 110579118 123588426 161615634 350167207 700334414 1050501621 2101003242