Search a number
-
+
2001110202 = 2327133139409
BaseRepresentation
bin111011101000110…
…1000010010111010
312011110102221010200
41313101220102322
513044241011302
6530322423030
7100406104350
oct16721502272
95143387120
102001110202
11937635793
1247a201a76
1325b7757a0
1414daa77d0
15baa3181c
hex774684ba

2001110202 has 96 divisors (see below), whose sum is σ = 5508572160. Its totient is φ = 510727680.

The previous prime is 2001110201. The next prime is 2001110207. The reversal of 2001110202 is 2020111002.

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

It is not an unprimeable number, because it can be changed into a prime (2001110201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31074 + ... + 70482.

It is an arithmetic number, because the mean of its divisors is an integer number (57380960).

Almost surely, 22001110202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001110202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754286080).

2001110202 is an abundant number, since it is smaller than the sum of its proper divisors (3507461958).

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

2001110202 is a wasteful number, since it uses less digits than its factorization.

2001110202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39468 (or 39465 counting only the distinct ones).

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

The square root of 2001110202 is about 44733.7702636386. The cubic root of 2001110202 is about 1260.1541345832.

Adding to 2001110202 its reverse (2020111002), we get a palindrome (4021221204).

The spelling of 2001110202 in words is "two billion, one million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 25389 39409 50778 78818 118227 236454 275863 354681 512317 551726 709362 827589 1024634 1221679 1536951 1655178 2443358 2482767 3073902 3586219 3665037 4610853 4965534 7172438 7330074 8551753 9221706 10758657 10995111 15881827 17103506 21517314 21990222 25655259 31763654 32275971 47645481 51310518 64551942 76965777 95290962 111172789 142936443 153931554 222345578 285872886 333518367 667036734 1000555101 2001110202