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1331395830 = 2325112913103
BaseRepresentation
bin100111101011011…
…0111110011110110
310102210020220201200
41033112313303312
510211314131310
6340040233330
744664451332
oct11726676366
93383226650
101331395830
116235a1436
12311a6b846
13182aab3ab
14c8b747c2
157bd429c0
hex4f5b7cf6

1331395830 has 48 divisors (see below), whose sum is σ = 3464959680. Its totient is φ = 354697344.

The previous prime is 1331395811. The next prime is 1331395831. The reversal of 1331395830 is 385931331.

It is a happy number.

1331395830 is a `hidden beast` number, since 13 + 31 + 39 + 583 + 0 = 666.

It is a super-2 number, since 2×13313958302 = 3545229712282777800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331395831) 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, 95059 + ... + 108161.

It is an arithmetic number, because the mean of its divisors is an integer number (72186660).

Almost surely, 21331395830 is an apocalyptic number.

1331395830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331395830 is an abundant number, since it is smaller than the sum of its proper divisors (2133563850).

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

1331395830 is a wasteful number, since it uses less digits than its factorization.

1331395830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14245 (or 14242 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1331395830 is about 36488.2971649815. The cubic root of 1331395830 is about 1100.1090332693.

The spelling of 1331395830 in words is "one billion, three hundred thirty-one million, three hundred ninety-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1129 2258 3387 5645 6774 10161 11290 13103 16935 20322 26206 33870 39309 50805 65515 78618 101610 117927 131030 196545 235854 393090 589635 1179270 14793287 29586574 44379861 73966435 88759722 133139583 147932870 221899305 266279166 443798610 665697915 1331395830