Search a number
-
+
1030210000 = 2454711451
BaseRepresentation
bin111101011001111…
…100000111010000
32122210112002102221
4331121330013100
54102213210000
6250120550424
734346432461
oct7531740720
92583462387
101030210000
11489588026
12249022414
13135586921
149ab72d68
156069c61a
hex3d67c1d0

1030210000 has 100 divisors (see below), whose sum is σ = 2531114784. Its totient is φ = 406000000.

The previous prime is 1030209941. The next prime is 1030210003. The reversal of 1030210000 is 120301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10302100002 = 2122665288200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 709275 + ... + 710725.

Almost surely, 21030210000 is an apocalyptic number.

1030210000 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 1030210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265557392).

1030210000 is an abundant number, since it is smaller than the sum of its proper divisors (1500904784).

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

1030210000 is an equidigital number, since it uses as much as digits as its factorization.

1030210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1030210000 is about 32096.8845840215. The cubic root of 1030210000 is about 1009.9702634777.

Adding to 1030210000 its reverse (120301), we get a palindrome (1030330301).

It can be divided in two parts, 10302 and 10000, that added together give a palindrome (20302).

The spelling of 1030210000 in words is "one billion, thirty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 625 710 1000 1136 1250 1420 1451 1775 2000 2500 2840 2902 3550 5000 5680 5804 7100 7255 8875 10000 11608 14200 14510 17750 23216 28400 29020 35500 36275 44375 58040 71000 72550 88750 103021 116080 142000 145100 177500 181375 206042 290200 355000 362750 412084 515105 580400 710000 725500 824168 906875 1030210 1451000 1648336 1813750 2060420 2575525 2902000 3627500 4120840 5151050 7255000 8241680 10302100 12877625 14510000 20604200 25755250 41208400 51510500 64388125 103021000 128776250 206042000 257552500 515105000 1030210000