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3020031000 = 233353719292
BaseRepresentation
bin1011010000000010…
…0000010000011000
321210110201110201000
42310000200100120
522141111443000
61215401425000
7134560561050
oct26400402030
97713643630
103020031000
11130a801a98
1270349b160
133918a8abc
1420913c560
1512a1ee000
hexb4020418

3020031000 has 768 divisors, whose sum is σ = 13044096000. Its totient is φ = 631411200.

The previous prime is 3020030999. The next prime is 3020031017. The reversal of 3020031000 is 1300203.

It is a happy number.

It is a super-3 number, since 3×30200310003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104138986 + ... + 104139014.

It is an arithmetic number, because the mean of its divisors is an integer number (16984500).

Almost surely, 23020031000 is an apocalyptic number.

3020031000 is a gapful number since it is divisible by the number (30) 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 3020031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522048000).

3020031000 is an abundant number, since it is smaller than the sum of its proper divisors (10024065000).

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

3020031000 is a wasteful number, since it uses less digits than its factorization.

3020031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3020031000 is about 54954.8087067911. The cubic root of 3020031000 is about 1445.4524191690.

Adding to 3020031000 its reverse (1300203), we get a palindrome (3021331203).

The spelling of 3020031000 in words is "three billion, twenty million, thirty-one thousand".