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1330331000 = 235310712433
BaseRepresentation
bin100111101001011…
…0011110101111000
310102201020211001112
41033102303311320
510211031043000
6340001335452
744652425015
oct11722636570
93381224045
101330331000
11622a34409
12311637588
131827c780b
14c897870c
157bbd2235
hex4f4b3d78

1330331000 has 64 divisors (see below), whose sum is σ = 3142320480. Its totient is φ = 527116800.

The previous prime is 1330330933. The next prime is 1330331081. The reversal of 1330331000 is 1330331.

It is a super-2 number, since 2×13303310002 = 3539561139122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100784 + ... + 113216.

Almost surely, 21330331000 is an apocalyptic number.

1330331000 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 1330331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571160240).

1330331000 is an abundant number, since it is smaller than the sum of its proper divisors (1811989480).

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

1330331000 is a wasteful number, since it uses less digits than its factorization.

1330331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12561 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 1330331000 is about 36473.7028556191. The cubic root of 1330331000 is about 1099.8156715929.

Adding to 1330331000 its reverse (1330331), we get a palindrome (1331661331).

1330331000 divided by its reverse (1330331) gives a cube (1000 = 103).

The spelling of 1330331000 in words is "one billion, three hundred thirty million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 12433 13375 21400 24866 26750 49732 53500 62165 99464 107000 124330 248660 310825 497320 621650 1243300 1330331 1554125 2486600 2660662 3108250 5321324 6216500 6651655 10642648 12433000 13303310 26606620 33258275 53213240 66516550 133033100 166291375 266066200 332582750 665165500 1330331000