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30110120 = 23529101257
BaseRepresentation
bin111001011011…
…1000110101000
32002122202022122
41302313012220
530202010440
62553210412
7513634415
oct162670650
962582278
1030110120
1115aa61a7
12a100a08
136313151
143ddb10c
15299b7b5
hex1cb71a8

30110120 has 64 divisors (see below), whose sum is σ = 71053200. Its totient is φ = 11468800.

The previous prime is 30110107. The next prime is 30110137. The reversal of 30110120 is 2101103.

It can be written as a sum of positive squares in 8 ways, for example, as 28665316 + 1444804 = 5354^2 + 1202^2 .

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 = 30110098 and 30110107.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117032 + ... + 117288.

Almost surely, 230110120 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 30110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35526600).

30110120 is an abundant number, since it is smaller than the sum of its proper divisors (40943080).

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

30110120 is a wasteful number, since it uses less digits than its factorization.

30110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

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

The square root of 30110120 is about 5487.2689017397. The cubic root of 30110120 is about 311.1029735211.

Adding to 30110120 its reverse (2101103), we get a palindrome (32211223).

The spelling of 30110120 in words is "thirty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 101 116 145 202 232 257 290 404 505 514 580 808 1010 1028 1160 1285 2020 2056 2570 2929 4040 5140 5858 7453 10280 11716 14645 14906 23432 25957 29290 29812 37265 51914 58580 59624 74530 103828 117160 129785 149060 207656 259570 298120 519140 752753 1038280 1505506 3011012 3763765 6022024 7527530 15055060 30110120