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331130233 = 717191371069
BaseRepresentation
bin10011101111001…
…010010101111001
3212002002011021201
4103233022111321
51134232131413
652505134201
711130363160
oct2357122571
9762064251
10331130233
1115aa07055
1292a8a361
13537aa365
1431d983d7
151e10c9dd
hex13bca579

331130233 has 32 divisors (see below), whose sum is σ = 425260800. Its totient is φ = 250988544.

The previous prime is 331130221. The next prime is 331130249. The reversal of 331130233 is 332031133.

It is not a de Polignac number, because 331130233 - 25 = 331130201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331130233.

It is not an unprimeable number, because it can be changed into a prime (331130213) 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 31 ways as a sum of consecutive naturals, for example, 309223 + ... + 310291.

It is an arithmetic number, because the mean of its divisors is an integer number (13289400).

Almost surely, 2331130233 is an apocalyptic number.

It is an amenable number.

331130233 is a deficient number, since it is larger than the sum of its proper divisors (94130567).

331130233 is a wasteful number, since it uses less digits than its factorization.

331130233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 331130233 is about 18196.9841732085. The cubic root of 331130233 is about 691.8303521506.

Adding to 331130233 its reverse (332031133), we get a palindrome (663161366).

The spelling of 331130233 in words is "three hundred thirty-one million, one hundred thirty thousand, two hundred thirty-three".

Divisors: 1 7 17 19 119 133 137 323 959 1069 2261 2329 2603 7483 16303 18173 18221 20311 44251 127211 142177 146453 309757 345287 1025171 2417009 2489701 2782607 17427907 19478249 47304319 331130233