Search a number
-
+
2000031020 = 2251321136457
BaseRepresentation
bin111011100110110…
…0000110100101100
312011101102002202222
41313031200310230
513044001443040
6530243334512
7100363661141
oct16715406454
95141362688
102000031020
11936a689a9
12479981438
1325b488510
1414d8a63c8
15ba8bbbb5
hex77360d2c

2000031020 has 48 divisors (see below), whose sum is σ = 4544708448. Its totient is φ = 734952960.

The previous prime is 2000030983. The next prime is 2000031037. The reversal of 2000031020 is 201300002.

It is a junction number, because it is equal to n+sod(n) for n = 2000030989 and 2000031007.

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, 36632 + ... + 73088.

It is an arithmetic number, because the mean of its divisors is an integer number (94681426).

Almost surely, 22000031020 is an apocalyptic number.

2000031020 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 2000031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272354224).

2000031020 is an abundant number, since it is smaller than the sum of its proper divisors (2544677428).

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

2000031020 is a wasteful number, since it uses less digits than its factorization.

2000031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36690 (or 36688 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2000031020 is about 44721.7063627943. The cubic root of 2000031020 is about 1259.9275636530.

Adding to 2000031020 its reverse (201300002), we get a palindrome (2201331022).

The spelling of 2000031020 in words is "two billion, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 211 260 422 844 1055 2110 2743 4220 5486 10972 13715 27430 36457 54860 72914 145828 182285 364570 473941 729140 947882 1895764 2369705 4739410 7692427 9478820 15384854 30769708 38462135 76924270 100001551 153848540 200003102 400006204 500007755 1000015510 2000031020