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1013241330 = 232511258237
BaseRepresentation
bin111100011001001…
…101010111110010
32121121120222210200
4330121031113302
54033342210310
6244313140030
734052260233
oct7431152762
92547528720
101013241330
1147aa48232
122433ba616
13131bc51aa
14987d708a
155de499c0
hex3c64d5f2

1013241330 has 24 divisors (see below), whose sum is σ = 2634427692. Its totient is φ = 270197664.

The previous prime is 1013241311. The next prime is 1013241331. The reversal of 1013241330 is 331423101.

1013241330 is a `hidden beast` number, since 10 + 1 + 324 + 1 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 946116081 + 67125249 = 30759^2 + 8193^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1013241331) 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 11 ways as a sum of consecutive naturals, for example, 5629029 + ... + 5629208.

Almost surely, 21013241330 is an apocalyptic number.

1013241330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013241330 is an abundant number, since it is smaller than the sum of its proper divisors (1621186362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013241330 is a wasteful number, since it uses less digits than its factorization.

1013241330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258250 (or 11258247 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013241330 is about 31831.4518990259. The cubic root of 1013241330 is about 1004.3944373004.

Adding to 1013241330 its reverse (331423101), we get a palindrome (1344664431).

The spelling of 1013241330 in words is "one billion, thirteen million, two hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11258237 22516474 33774711 56291185 67549422 101324133 112582370 168873555 202648266 337747110 506620665 1013241330