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210211222100200 = 23526117230428041
BaseRepresentation
bin101111110010111110011101…
…001110001001100011101000
31000120021222220111111202022221
4233302332131032021203220
5210023100040324201300
62023025411405123424
762164155022133326
oct5762763516114350
91016258814452287
10210211222100200
1160a86095753542
121b6b0414b59574
13903aaaa685539
1439ca3c53dad16
15194812276831a
hexbf2f9d3898e8

210211222100200 has 48 divisors (see below), whose sum is σ = 496753240450860. Its totient is φ = 82706054592000.

The previous prime is 210211222100177. The next prime is 210211222100203. The reversal of 210211222100200 is 2001222112012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 81095680238596 + 129115541861604 = 9005314^2 + 11362902^2 .

It is a super-2 number, since 2×2102112221002002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210211222100203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8615201821 + ... + 8615226220.

Almost surely, 2210211222100200 is an apocalyptic number.

210211222100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210211222100200 is an abundant number, since it is smaller than the sum of its proper divisors (286542018350660).

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

210211222100200 is a wasteful number, since it uses less digits than its factorization.

210211222100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230428118 (or 17230428109 counting only the distinct ones).

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

Adding to 210211222100200 its reverse (2001222112012), we get a palindrome (212212444212212).

The spelling of 210211222100200 in words is "two hundred ten trillion, two hundred eleven billion, two hundred twenty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 17230428041 34460856082 68921712164 86152140205 137843424328 172304280410 344608560820 430760701025 689217121640 861521402050 1051056110501 1723042804100 2102112221002 3446085608200 4204224442004 5255280552505 8408448884008 10510561105010 21021122210020 26276402762525 42042244420040 52552805525050 105105611050100 210211222100200