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30012100 = 22522979131
BaseRepresentation
bin111001001111…
…1001011000100
32002110202212021
41302133023010
530140341400
62551132524
7513045556
oct162371304
962422767
1030012100
1115a39598
12a074144
1362aa651
143db34d6
15297c71a
hex1c9f2c4

30012100 has 72 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 11356800.

The previous prime is 30012029. The next prime is 30012107. The reversal of 30012100 is 121003.

It is a super-2 number, since 2×300121002 = 1801452292820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30012107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 229035 + ... + 229165.

It is an arithmetic number, because the mean of its divisors is an integer number (954800).

Almost surely, 230012100 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 30012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

30012100 is an abundant number, since it is smaller than the sum of its proper divisors (38733500).

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

30012100 is a wasteful number, since it uses less digits than its factorization.

30012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

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

The square root of 30012100 is about 5478.3300375206. The cubic root of 30012100 is about 310.7650199950.

Adding to 30012100 its reverse (121003), we get a palindrome (30133103).

The spelling of 30012100 in words is "thirty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 131 145 158 262 290 316 395 524 580 655 725 790 1310 1450 1580 1975 2291 2620 2900 3275 3799 3950 4582 6550 7598 7900 9164 10349 11455 13100 15196 18995 20698 22910 37990 41396 45820 51745 57275 75980 94975 103490 114550 189950 206980 229100 258725 300121 379900 517450 600242 1034900 1200484 1500605 3001210 6002420 7503025 15006050 30012100