Search a number
-
+
1030102000 = 24532112441
BaseRepresentation
bin111101011001100…
…001101111110000
32122210022121021221
4331121201233300
54102201231000
6250114354424
734345502554
oct7531415760
92583277257
101030102000
11489513974
12248b8ba14
13135549715
149ab45864
156067a61a
hex3d661bf0

1030102000 has 80 divisors (see below), whose sum is σ = 2503616544. Its totient is φ = 409920000.

The previous prime is 1030101983. The next prime is 1030102027. The reversal of 1030102000 is 2010301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10301020002 = 2122220260808000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420780 + ... + 423220.

Almost surely, 21030102000 is an apocalyptic number.

1030102000 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 1030102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251808272).

1030102000 is an abundant number, since it is smaller than the sum of its proper divisors (1473514544).

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

1030102000 is a wasteful number, since it uses less digits than its factorization.

1030102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2659 counting only the distinct ones).

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

The square root of 1030102000 is about 32095.2021336523. The cubic root of 1030102000 is about 1009.9349695084.

Adding to 1030102000 its reverse (2010301), we get a palindrome (1032112301).

The spelling of 1030102000 in words is "one billion, thirty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 844 1000 1055 1688 2000 2110 2441 3376 4220 4882 5275 8440 9764 10550 12205 16880 19528 21100 24410 26375 39056 42200 48820 52750 61025 84400 97640 105500 122050 195280 211000 244100 305125 422000 488200 515051 610250 976400 1030102 1220500 2060204 2441000 2575255 4120408 4882000 5150510 8240816 10301020 12876275 20602040 25752550 41204080 51505100 64381375 103010200 128762750 206020400 257525500 515051000 1030102000