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330233013 = 32118340189
BaseRepresentation
bin10011101011101…
…111010010110101
3212000101120112100
4103223233102311
51134014424023
652434012313
711116635315
oct2353572265
9760346470
10330233013
1115a453a50
1292717099
1353554b66
1431c03445
151ded1c43
hex13aef4b5

330233013 has 24 divisors (see below), whose sum is σ = 526649760. Its totient is φ = 197724960.

The previous prime is 330233009. The next prime is 330233027. The reversal of 330233013 is 310332033.

330233013 is a `hidden beast` number, since 330 + 2 + 330 + 1 + 3 = 666.

It is not a de Polignac number, because 330233013 - 22 = 330233009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330233083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11878 + ... + 28311.

It is an arithmetic number, because the mean of its divisors is an integer number (21943740).

Almost surely, 2330233013 is an apocalyptic number.

330233013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330233013 is a deficient number, since it is larger than the sum of its proper divisors (196416747).

330233013 is a wasteful number, since it uses less digits than its factorization.

330233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40289 (or 40286 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 330233013 is about 18172.3144645915. The cubic root of 330233013 is about 691.2049330622.

Adding to 330233013 its reverse (310332033), we get a palindrome (640565046).

It can be divided in two parts, 3302 and 33013, that added together give a triangular number (36315 = T269).

The spelling of 330233013 in words is "three hundred thirty million, two hundred thirty-three thousand, thirteen".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 8217 40189 120567 361701 442079 1326237 3335687 3978711 10007061 30021183 36692557 110077671 330233013