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30101120 = 27576719
BaseRepresentation
bin111001011010…
…0111010000000
32002122021222022
41302310322000
530201213440
62553101012
7513566240
oct162647200
962567868
1030101120
1115a9a465
12a0b7768
13630c01a
143dd7b20
152998cb5
hex1cb4e80

30101120 has 64 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 10318848.

The previous prime is 30101107. The next prime is 30101147. The reversal of 30101120 is 2110103.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 30101098 and 30101107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1121 + ... + 7839.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 230101120 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 30101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

30101120 is an abundant number, since it is smaller than the sum of its proper divisors (52151680).

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

30101120 is an equidigital number, since it uses as much as digits as its factorization.

30101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 30101120 is about 5486.4487603549. The cubic root of 30101120 is about 311.0719739128.

Adding to 30101120 its reverse (2110103), we get a palindrome (32211223).

The spelling of 30101120 in words is "thirty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 6719 13438 26876 33595 47033 53752 67190 94066 107504 134380 188132 215008 235165 268760 376264 430016 470330 537520 752528 860032 940660 1075040 1505056 1881320 2150080 3010112 3762640 4300160 6020224 7525280 15050560 30101120