Search a number
-
+
211022101332 = 223273722632143
BaseRepresentation
bin1100010010000111100…
…1011011101101010100
3202011200111022110001200
43010201321123231110
511424133124220312
6240535303552500
721150216160140
oct3044171335524
9664614273050
10211022101332
1181548525059
1234a92a5b730
1316b8c9b4523
14a2dbca6220
155750e2c0dc
hex3121e5bb54

211022101332 has 72 divisors (see below), whose sum is σ = 626095631616. Its totient is φ = 58662512064.

The previous prime is 211022101291. The next prime is 211022101363. The reversal of 211022101332 is 233101220112.

211022101332 is a `hidden beast` number, since 2 + 110 + 221 + 0 + 1 + 332 = 666.

211022101332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11306748 + ... + 11325395.

Almost surely, 2211022101332 is an apocalyptic number.

It is an amenable number.

211022101332 is an abundant number, since it is smaller than the sum of its proper divisors (415073530284).

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

211022101332 is a wasteful number, since it uses less digits than its factorization.

211022101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22632197 (or 22632192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211022101332 its reverse (233101220112), we get a palindrome (444123321444).

The spelling of 211022101332 in words is "two hundred eleven billion, twenty-two million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 22632143 45264286 67896429 90528572 135792858 158425001 203689287 271585716 316850002 407378574 475275003 633700004 814757148 837389291 950550006 1425825009 1674778582 1901100012 2512167873 2851650018 3349557164 5024335746 5703300036 5861725037 7536503619 10048671492 11723450074 15073007238 17585175111 23446900148 30146014476 35170350222 52755525333 70340700444 105511050666 211022101332