Search a number
-
+
201120222010212 = 223253127829991507
BaseRepresentation
bin101101101110101011110011…
…011000111101101101100100
3222101002220110001222101022100
4231232223303120331231210
5202330123203313311322
61551425204322532100
760235312406304201
oct5556536330755544
9871086401871270
10201120222010212
11590a067514997a
121a682543507030
13882b72b73446b
1437943b0a84ca8
15183b8ea011dac
hexb6eaf363db64

201120222010212 has 72 divisors (see below), whose sum is σ = 522058018599936. Its totient is φ = 65257252167744.

The previous prime is 201120222010163. The next prime is 201120222010249. The reversal of 201120222010212 is 212010222021102.

It is a happy number.

201120222010212 is a `hidden beast` number, since 20 + 1 + 1 + 202 + 220 + 10 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414753438 + ... + 415238069.

It is an arithmetic number, because the mean of its divisors is an integer number (7250805813888).

Almost surely, 2201120222010212 is an apocalyptic number.

It is an amenable number.

201120222010212 is an abundant number, since it is smaller than the sum of its proper divisors (320937796589724).

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

201120222010212 is a wasteful number, since it uses less digits than its factorization.

201120222010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829991697 (or 829991692 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201120222010212 its reverse (212010222021102), we get a palindrome (413130444031314).

The spelling of 201120222010212 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 127 159 212 254 318 381 477 508 636 762 954 1143 1524 1908 2286 4572 6731 13462 20193 26924 40386 60579 80772 121158 242316 829991507 1659983014 2489974521 3319966028 4979949042 7469923563 9959898084 14939847126 29879694252 43989549871 87979099742 105408921389 131968649613 175958199484 210817842778 263937299226 316226764167 395905948839 421635685556 527874598452 632453528334 791811897678 948680292501 1264907056668 1583623795356 1897360585002 3794721170004 5586672833617 11173345667234 16760018500851 22346691334468 33520037001702 50280055502553 67040074003404 100560111005106 201120222010212