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212041400415 = 35134243256279
BaseRepresentation
bin1100010101111010100…
…1110000000001011111
3202021022112022012112120
43011132221300001133
511433230044303130
6241224355034023
721214404110445
oct3053651600137
9667275265476
10212041400415
1181a2092a599
123511829b913
1316cc2c1aa90
14a3973d8b95
1557b0671910
hex315ea7005f

212041400415 has 32 divisors (see below), whose sum is σ = 365451179520. Its totient is φ = 104364602496.

The previous prime is 212041400413. The next prime is 212041400423. The reversal of 212041400415 is 514004140212.

212041400415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212041400415 - 21 = 212041400413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212041400413) 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, 699246 + ... + 955524.

It is an arithmetic number, because the mean of its divisors is an integer number (11420349360).

Almost surely, 2212041400415 is an apocalyptic number.

212041400415 is a deficient number, since it is larger than the sum of its proper divisors (153409779105).

212041400415 is a wasteful number, since it uses less digits than its factorization.

212041400415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260543.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 212041400415 its reverse (514004140212), we get a palindrome (726045540627).

The spelling of 212041400415 in words is "two hundred twelve billion, forty-one million, four hundred thousand, four hundred fifteen".

Divisors: 1 3 5 13 15 39 65 195 4243 12729 21215 55159 63645 165477 256279 275795 768837 827385 1281395 3331627 3844185 9994881 16658135 49974405 1087391797 3262175391 5436958985 14136093361 16310876955 42408280083 70680466805 212041400415