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311132213 = 7329311009
BaseRepresentation
bin10010100010111…
…000000000110101
3210200110011011022
4102202320000311
51114122212323
650512350525
710465403000
oct2242700065
9720404138
10311132213
1114a698267
1288245445
134c5c7b02
142d470537
151c4ac4c8
hex128b8035

311132213 has 32 divisors (see below), whose sum is σ = 387840000. Its totient is φ = 248935680.

The previous prime is 311132197. The next prime is 311132273. The reversal of 311132213 is 312231113.

It is not a de Polignac number, because 311132213 - 24 = 311132197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311132191 and 311132200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311132273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307853 + ... + 308861.

It is an arithmetic number, because the mean of its divisors is an integer number (12120000).

Almost surely, 2311132213 is an apocalyptic number.

It is an amenable number.

311132213 is a deficient number, since it is larger than the sum of its proper divisors (76707787).

311132213 is a wasteful number, since it uses less digits than its factorization.

311132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1076 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 311132213 is about 17638.9402459445. The cubic root of 311132213 is about 677.6128907800.

Adding to 311132213 its reverse (312231113), we get a palindrome (623363326).

The spelling of 311132213 in words is "three hundred eleven million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 7 29 31 49 203 217 343 899 1009 1421 1519 6293 7063 9947 10633 29261 31279 44051 49441 204827 218953 308357 346087 907091 1433789 1532671 6349637 10036523 10728697 44447459 311132213