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211103264346 = 231341330719961
BaseRepresentation
bin1100010010011010111…
…1000010111001011010
3202011220011000221210020
43010212233002321122
511424314413424341
6240551323331310
721152223066042
oct3044657027132
9664804027706
10211103264346
118158a320027
1234ab6080b36
1316ba3761090
14a308992722
155758110566
hex3126bc2e5a

211103264346 has 64 divisors (see below), whose sum is σ = 465937992576. Its totient is φ = 63348249600.

The previous prime is 211103264329. The next prime is 211103264369. The reversal of 211103264346 is 643462301112.

It is a happy number.

211103264346 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 3×2111032643463 (a number of 35 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 10565806 + ... + 10585766.

It is an arithmetic number, because the mean of its divisors is an integer number (7280281134).

Almost surely, 2211103264346 is an apocalyptic number.

211103264346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211103264346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232968996288).

211103264346 is an abundant number, since it is smaller than the sum of its proper divisors (254834728230).

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

211103264346 is a wasteful number, since it uses less digits than its factorization.

211103264346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23327.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 211103264346 its reverse (643462301112), we get a palindrome (854565565458).

The spelling of 211103264346 in words is "two hundred eleven billion, one hundred three million, two hundred sixty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 3198 3307 6614 9921 19842 19961 39922 42991 59883 85982 119766 128973 135587 257946 259493 271174 406761 518986 778479 813522 818401 1556958 1636802 1762631 2455203 3525262 4910406 5287893 10575786 10639213 21278426 31917639 63835278 66011027 132022054 198033081 396066162 858143351 1716286702 2574430053 2706452107 5148860106 5412904214 8119356321 16238712642 35183877391 70367754782 105551632173 211103264346