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213040311 = 31117379751
BaseRepresentation
bin11001011001010…
…11110010110111
3112211212120100220
430230223302313
5414014242221
633050105423
75164545531
oct1454536267
9484776326
10213040311
11aa28a380
125b41b273
13351a1973
1420418851
1513a830c6
hexcb2bcb7

213040311 has 16 divisors (see below), whose sum is σ = 328105728. Its totient is φ = 121520000.

The previous prime is 213040309. The next prime is 213040319. The reversal of 213040311 is 113040312.

It is a cyclic number.

It is not a de Polignac number, because 213040311 - 21 = 213040309 is a prime.

It is a super-2 number, since 2×2130403112 = 90772348221953442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213040319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189315 + ... + 190436.

It is an arithmetic number, because the mean of its divisors is an integer number (20506608).

Almost surely, 2213040311 is an apocalyptic number.

213040311 is a deficient number, since it is larger than the sum of its proper divisors (115065417).

213040311 is a wasteful number, since it uses less digits than its factorization.

213040311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379782.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213040311 is about 14595.9004860954. The cubic root of 213040311 is about 597.2469342581.

Adding to 213040311 its reverse (113040312), we get a palindrome (326080623).

Subtracting from 213040311 its reverse (113040312), we obtain a palindrome (99999999).

The spelling of 213040311 in words is "two hundred thirteen million, forty thousand, three hundred eleven".

Divisors: 1 3 11 17 33 51 187 561 379751 1139253 4177261 6455767 12531783 19367301 71013437 213040311