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1331130320 = 245132714723
BaseRepresentation
bin100111101010111…
…0110111111010000
310102202202102111222
41033111312333100
510211232132240
6340030424212
744662264262
oct11725667720
93382672458
101331130320
1162342aa03
12311962068
13182a175a0
14c8b05b32
157bcddeb5
hex4f576fd0

1331130320 has 80 divisors (see below), whose sum is σ = 3345952512. Its totient is φ = 489576960.

The previous prime is 1331130319. The next prime is 1331130343. The reversal of 1331130320 is 230311331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279479 + ... + 284201.

Almost surely, 21331130320 is an apocalyptic number.

1331130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672976256).

1331130320 is an abundant number, since it is smaller than the sum of its proper divisors (2014822192).

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

1331130320 is a wasteful number, since it uses less digits than its factorization.

1331130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1331130320 is about 36484.6586937578. The cubic root of 1331130320 is about 1100.0358996548.

Adding to 1331130320 its reverse (230311331), we get a palindrome (1561441651).

The spelling of 1331130320 in words is "one billion, three hundred thirty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 271 520 542 1040 1084 1355 2168 2710 3523 4336 4723 5420 7046 9446 10840 14092 17615 18892 21680 23615 28184 35230 37784 47230 56368 61399 70460 75568 94460 122798 140920 188920 245596 281840 306995 377840 491192 613990 982384 1227980 1279933 2455960 2559866 4911920 5119732 6399665 10239464 12799330 16639129 20478928 25598660 33278258 51197320 66556516 83195645 102394640 133113032 166391290 266226064 332782580 665565160 1331130320