Search a number
-
+
2000011002 = 2311176772633
BaseRepresentation
bin111011100110101…
…1011111011111010
312011101101002022120
41313031123323322
513044000323002
6530243102110
7100363545603
oct16715337372
95141332276
102000011002
11936a54960
12479971936
1325b47c382
1414d89cdaa
15ba8b5cbc
hex7735befa

2000011002 has 64 divisors (see below), whose sum is σ = 4628928384. Its totient is φ = 569354240.

The previous prime is 2000011001. The next prime is 2000011009. The reversal of 2000011002 is 2001100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (2000011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758278 + ... + 760910.

It is an arithmetic number, because the mean of its divisors is an integer number (72327006).

Almost surely, 22000011002 is an apocalyptic number.

2000011002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314464192).

2000011002 is an abundant number, since it is smaller than the sum of its proper divisors (2628917382).

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

2000011002 is a wasteful number, since it uses less digits than its factorization.

2000011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2000011002 is about 44721.4825559261. The cubic root of 2000011002 is about 1259.9233601659.

Adding to 2000011002 its reverse (2001100002), we get a palindrome (4001111004).

The spelling of 2000011002 in words is "two billion, eleven thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 677 1122 1354 2031 2633 4062 5266 7447 7899 11509 14894 15798 22341 23018 28963 34527 44682 44761 57926 69054 86889 89522 126599 134283 173778 253198 268566 379797 492371 759594 984742 1477113 1782541 2954226 3565082 5347623 10695246 19607951 30303197 39215902 58823853 60606394 90909591 117647706 181819182 333335167 666670334 1000005501 2000011002