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203211411414 = 23118349317523
BaseRepresentation
bin1011110101000001011…
…0000000111111010110
3201102112011010021202220
42331100112000333112
511312134110131124
6233204245443210
720452524332334
oct2752026007726
9642464107686
10203211411414
11791aa5a9120
1233473110506
1316216754b0b
149b9a7dab54
155445378879
hex2f50580fd6

203211411414 has 64 divisors (see below), whose sum is σ = 448862819328. Its totient is φ = 60816874400.

The previous prime is 203211411407. The next prime is 203211411419. The reversal of 203211411414 is 414114112302.

It is a happy number.

203211411414 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203211411419) by changing a digit.

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, 27008257 + ... + 27015779.

It is an arithmetic number, because the mean of its divisors is an integer number (7013481552).

Almost surely, 2203211411414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203211411414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224431409664).

203211411414 is an abundant number, since it is smaller than the sum of its proper divisors (245651407914).

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

203211411414 is a wasteful number, since it uses less digits than its factorization.

203211411414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 203211411414 its reverse (414114112302), we get a palindrome (617325523716).

The spelling of 203211411414 in words is "two hundred three billion, two hundred eleven million, four hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2739 4931 5478 7523 9862 14793 15046 22569 29586 45138 54241 82753 108482 162723 165506 248259 325446 409273 496518 624409 818546 1227819 1248818 1873227 2455638 3746454 4502003 6868499 9004006 13506009 13736998 20605497 27012018 37095913 41210994 74191826 111287739 222575478 408055043 816110086 1224165129 2448330258 3078960779 6157921558 9236882337 18473764674 33868568569 67737137138 101605705707 203211411414