Search a number
-
+
221001021200212 = 2211194192659237277
BaseRepresentation
bin110010001111111111001111…
…010111010001011101010100
31001222111111021011002100001021
4302033333033113101131110
5212431340042411401322
62102010244554010524
764356540220214521
oct6217771727213524
91058444234070037
10221001021200212
1164466008a8a0a0
122095358aa16a44
1396413cb28c116
143c80713b94148
151a83b251594c7
hexc8ffcf5d1754

221001021200212 has 96 divisors (see below), whose sum is σ = 445346129088000. Its totient is φ = 94904667411840.

The previous prime is 221001021200161. The next prime is 221001021200213. The reversal of 221001021200212 is 212002120100122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001021200213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 931286518 + ... + 931523794.

It is an arithmetic number, because the mean of its divisors is an integer number (4639022178000).

Almost surely, 2221001021200212 is an apocalyptic number.

221001021200212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221001021200212 is an abundant number, since it is smaller than the sum of its proper divisors (224345107887788).

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

221001021200212 is a wasteful number, since it uses less digits than its factorization.

221001021200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240389 (or 240387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221001021200212 its reverse (212002120100122), we get a palindrome (433003141300334).

The spelling of 221001021200212 in words is "two hundred twenty-one trillion, one billion, twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 419 836 838 1676 2659 4609 5318 7961 9218 10636 15922 18436 29249 31844 50521 58498 87571 101042 116996 175142 202084 237277 350284 474554 555731 949108 1111462 1114121 2222924 2228242 2610047 4456484 4508263 5220094 9016526 10440188 12255331 18033052 21168299 24510662 42336598 49021324 49590893 84673196 99181786 99419063 198363572 198838126 232851289 397676252 465702578 630919543 931405156 1093609693 1261839086 1888962197 2187219386 2523678172 3777924394 4374438772 6940114973 7555848788 11987471317 13880229946 20778584167 23974942634 27760459892 41557168334 47949885268 83114336668 131862184487 263724368974 264355288517 527448737948 528710577034 1057421154068 2907908173687 5022750481823 5815816347374 10045500963646 11631632694748 20091001927292 55250255300053 110500510600106 221001021200212