Search a number
-
+
12001101100010 = 2511176947923809
BaseRepresentation
bin1010111010100011100101…
…0111100011001111101010
31120111021221100222210001022
42232220321113203033222
53033111223340200020
641305121342252442
72346023321136431
oct256507127431752
946437840883038
1012001101100010
113907702780610
121419a88587122
13690911867159
142d6bdbd26118
1515c299922625
hexaea395e33ea

12001101100010 has 64 divisors (see below), whose sum is σ = 24955640749440. Its totient is φ = 4106733035520.

The previous prime is 12001101099997. The next prime is 12001101100013. The reversal of 12001101100010 is 1000110110021.

It is a happy number.

It is a super-2 number, since 2×120011011000102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12001101100013) 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, 12528986 + ... + 13452794.

It is an arithmetic number, because the mean of its divisors is an integer number (389931886710).

Almost surely, 212001101100010 is an apocalyptic number.

12001101100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001101100010 is an abundant number, since it is smaller than the sum of its proper divisors (12954539649430).

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

12001101100010 is a wasteful number, since it uses less digits than its factorization.

12001101100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930791.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12001101100010 its reverse (1000110110021), we get a palindrome (13001211210031).

The spelling of 12001101100010 in words is "twelve trillion, one billion, one hundred one million, one hundred thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 374 935 1870 6947 13894 34735 69470 76417 118099 152834 236198 382085 590495 764170 923809 1180990 1299089 1847618 2598178 4619045 6495445 9238090 10161899 12990890 15704753 20323798 31409506 50809495 78523765 101618990 157047530 172752283 345504566 863761415 1727522830 6417701123 12835402246 32088505615 64177011230 70594712353 109100919091 141189424706 218201838182 352973561765 545504595455 705947123530 1091009190910 1200110110001 2400220220002 6000550550005 12001101100010