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3130281000 = 2332537114517
BaseRepresentation
bin1011101010010100…
…0100110000101000
322002011011202021100
42322211010300220
522402322443000
61234340441400
7140366643450
oct27245046050
98064152240
103130281000
111366a644a0
127343a9260
133ab69aba2
14219a3ad60
15134c2aa00
hexba944c28

3130281000 has 384 divisors, whose sum is σ = 13194005760. Its totient is φ = 650304000.

The previous prime is 3130280999. The next prime is 3130281031. The reversal of 3130281000 is 1820313.

It is a super-2 number, since 2×31302810002 = 19597318277922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 690742 + ... + 695258.

It is an arithmetic number, because the mean of its divisors is an integer number (34359390).

Almost surely, 23130281000 is an apocalyptic number.

3130281000 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 3130281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597002880).

3130281000 is an abundant number, since it is smaller than the sum of its proper divisors (10063724760).

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

3130281000 is a wasteful number, since it uses less digits than its factorization.

3130281000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3130281000 is about 55948.9141985794. The cubic root of 3130281000 is about 1462.8319649677.

It can be divided in two parts, 313028 and 1000, that added together give a triangular number (314028 = T792).

The spelling of 3130281000 in words is "three billion, one hundred thirty million, two hundred eighty-one thousand".