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2030331000 = 233534315739
BaseRepresentation
bin111100100000100…
…0110010001111000
312020111102111112110
41321001012101320
513124231043000
6533245012320
7101212346235
oct17101062170
95214374473
102030331000
11952083805
12487b540a0
13264836bb9
1415391278c
15bd3a4850
hex79046478

2030331000 has 128 divisors (see below), whose sum is σ = 6482361600. Its totient is φ = 528796800.

The previous prime is 2030330999. The next prime is 2030331001. The reversal of 2030331000 is 1330302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2030330999) and next prime (2030331001).

It is a super-2 number, since 2×20303310002 = 8244487939122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030331001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121131 + ... + 136869.

It is an arithmetic number, because the mean of its divisors is an integer number (50643450).

Almost surely, 22030331000 is an apocalyptic number.

2030331000 is a gapful number since it is divisible by the number (20) 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 2030331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241180800).

2030331000 is an abundant number, since it is smaller than the sum of its proper divisors (4452030600).

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

2030331000 is a wasteful number, since it uses less digits than its factorization.

2030331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15806 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2030331000 is about 45059.1944002553. The cubic root of 2030331000 is about 1266.2582324274.

Adding to 2030331000 its reverse (1330302), we get a palindrome (2031661302).

The spelling of 2030331000 in words is "two billion, thirty million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 15739 16125 21500 25800 31478 32250 43000 47217 62956 64500 78695 94434 125912 129000 157390 188868 236085 314780 377736 393475 472170 629560 676777 786950 944340 1180425 1353554 1573900 1888680 1967375 2030331 2360850 2707108 3147800 3383885 3934750 4060662 4721700 5414216 5902125 6767770 7869500 8121324 9443400 10151655 11804250 13535540 15739000 16242648 16919425 20303310 23608500 27071080 33838850 40606620 47217000 50758275 67677700 81213240 84597125 101516550 135355400 169194250 203033100 253791375 338388500 406066200 507582750 676777000 1015165500 2030331000