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1331013330 = 23357962401
BaseRepresentation
bin100111101010101…
…1010011011010010
310102202112111001000
41033111122123102
510211214411310
6340024122430
744661266223
oct11725323322
93382474030
101331013330
11623360019
12311906416
131829a626a
14c8ab524a
157bcb94c0
hex4f55a6d2

1331013330 has 64 divisors (see below), whose sum is σ = 3594355200. Its totient is φ = 350438400.

The previous prime is 1331013329. The next prime is 1331013347. The reversal of 1331013330 is 333101331.

1331013330 is a `hidden beast` number, since 1 + 331 + 0 + 1 + 3 + 330 = 666.

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

It is an unprimeable number.

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, 9871 + ... + 52530.

It is an arithmetic number, because the mean of its divisors is an integer number (56161800).

Almost surely, 21331013330 is an apocalyptic number.

1331013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331013330 is an abundant number, since it is smaller than the sum of its proper divisors (2263341870).

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

1331013330 is a wasteful number, since it uses less digits than its factorization.

1331013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62496 (or 62490 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1331013330 is about 36483.0553819167. The cubic root of 1331013330 is about 1100.0036721640.

Adding to 1331013330 its reverse (333101331), we get a palindrome (1664114661).

The spelling of 1331013330 in words is "one billion, three hundred thirty-one million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 790 1185 1422 2133 2370 3555 4266 7110 10665 21330 62401 124802 187203 312005 374406 561609 624010 936015 1123218 1684827 1872030 2808045 3369654 4929679 5616090 8424135 9859358 14789037 16848270 24648395 29578074 44367111 49296790 73945185 88734222 133101333 147890370 221835555 266202666 443671110 665506665 1331013330