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1331499000 = 233531334141
BaseRepresentation
bin100111101011101…
…0000111111111000
310102210110011020210
41033113100333320
510211330432000
6340042351120
744665361166
oct11727207770
93383404223
101331499000
116236619a7
12311abb4a0
13182b16340
14c8ba0236
157bd63350
hex4f5d0ff8

1331499000 has 128 divisors (see below), whose sum is σ = 4473967680. Its totient is φ = 327744000.

The previous prime is 1331498977. The next prime is 1331499023. The reversal of 1331499000 is 9941331.

It is an interprime number because it is at equal distance from previous prime (1331498977) and next prime (1331499023).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 21930 + ... + 56070.

Almost surely, 21331499000 is an apocalyptic number.

1331499000 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 1331499000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236983840).

1331499000 is an abundant number, since it is smaller than the sum of its proper divisors (3142468680).

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

1331499000 is a wasteful number, since it uses less digits than its factorization.

1331499000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34178 (or 34164 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1331499000 is about 36489.7108785477. The cubic root of 1331499000 is about 1100.1374483894.

The spelling of 1331499000 in words is "one billion, three hundred thirty-one million, four hundred ninety-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 34141 39000 68282 102423 136564 170705 204846 273128 341410 409692 443833 512115 682820 819384 853525 887666 1024230 1331499 1365640 1707050 1775332 2048460 2219165 2560575 2662998 3414100 3550664 4096920 4267625 4438330 5121150 5325996 6657495 6828200 8535250 8876660 10242300 10651992 11095825 12802875 13314990 17070500 17753320 20484600 22191650 25605750 26629980 33287475 34141000 44383300 51211500 53259960 55479125 66574950 88766600 102423000 110958250 133149900 166437375 221916500 266299800 332874750 443833000 665749500 1331499000