Search a number
-
+
30101000 = 235331971
BaseRepresentation
bin111001011010…
…0111000001000
32002122021210212
41302310320020
530201213000
62553100252
7513566006
oct162647010
962567725
1030101000
1115a9a366
12a0b7688
13630bc57
143dd7a76
152998c35
hex1cb4e08

30101000 has 64 divisors (see below), whose sum is σ = 72783360. Its totient is φ = 11640000.

The previous prime is 30100981. The next prime is 30101003. The reversal of 30101000 is 10103.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (30101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30515 + ... + 31485.

It is an arithmetic number, because the mean of its divisors is an integer number (1137240).

Almost surely, 230101000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

30101000 is an abundant number, since it is smaller than the sum of its proper divisors (42682360).

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

30101000 is a wasteful number, since it uses less digits than its factorization.

30101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 30101000 is about 5486.4378243082. The cubic root of 30101000 is about 311.0715605429.

Adding to 30101000 its reverse (10103), we get a palindrome (30111103).

The spelling of 30101000 in words is "thirty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 971 1000 1240 1550 1942 3100 3875 3884 4855 6200 7750 7768 9710 15500 19420 24275 30101 31000 38840 48550 60202 97100 120404 121375 150505 194200 240808 242750 301010 485500 602020 752525 971000 1204040 1505050 3010100 3762625 6020200 7525250 15050500 30101000