Search a number
-
+
201220021100202 = 231323148375632351
BaseRepresentation
bin101101110000001000101111…
…111000010001111010101010
3222101110110001020120102211120
4231300020233320101322222
5202333242100400201302
61551543111311440110
760245444463465216
oct5560105770217252
9871413036512746
10201220021100202
1159129a28130345
121a699955b26036
138837c7472b630
14379915b167946
15183e2db7b29bc
hexb7022fe11eaa

201220021100202 has 64 divisors (see below), whose sum is σ = 452545270603776. Its totient is φ = 59182011345600.

The previous prime is 201220021100201. The next prime is 201220021100209. The reversal of 201220021100202 is 202001120022102.

201220021100202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2012200211002023 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (201220021100201) 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, 35155674 + ... + 40476677.

It is an arithmetic number, because the mean of its divisors is an integer number (7071019853184).

Almost surely, 2201220021100202 is an apocalyptic number.

201220021100202 is an abundant number, since it is smaller than the sum of its proper divisors (251325249503574).

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

201220021100202 is a wasteful number, since it uses less digits than its factorization.

201220021100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75633875.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201220021100202 its reverse (202001120022102), we get a palindrome (403221141122304).

The spelling of 201220021100202 in words is "two hundred one trillion, two hundred twenty billion, twenty-one million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1483 1794 2966 4449 8898 19279 34109 38558 57837 68218 102327 115674 204654 443417 886834 1330251 2660502 75632351 151264702 226897053 453794106 983220563 1739544073 1966441126 2949661689 3479088146 5218632219 5899323378 10437264438 22614072949 45228145898 67842218847 112162776533 135684437694 224325553066 336488329599 672976659198 1458116094929 2579743860259 2916232189858 4374348284787 5159487720518 7739231580777 8748696569574 15478463161554 33536670183367 67073340366734 100610010550101 201220021100202