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30131310 = 235111741131
BaseRepresentation
bin111001011110…
…0010001101110
32002200211101110
41302330101232
530203200220
62553452450
7514053246
oct162742156
962624343
1030131310
1116010110
12a111126
13631c9a1
144004b26
1529a2be0
hex1cbc46e

30131310 has 128 divisors (see below), whose sum is σ = 86220288. Its totient is φ = 6656000.

The previous prime is 30131303. The next prime is 30131317. The reversal of 30131310 is 1313103.

It is an interprime number because it is at equal distance from previous prime (30131303) and next prime (30131317).

It is a super-2 number, since 2×301313102 = 1815791684632200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229945 + ... + 230075.

It is an arithmetic number, because the mean of its divisors is an integer number (673596).

Almost surely, 230131310 is an apocalyptic number.

30131310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43110144).

30131310 is an abundant number, since it is smaller than the sum of its proper divisors (56088978).

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

30131310 is a wasteful number, since it uses less digits than its factorization.

30131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 30131310 is about 5489.1993951759. The cubic root of 30131310 is about 311.1759359910.

Adding to 30131310 its reverse (1313103), we get a palindrome (31444413).

The spelling of 30131310 in words is "thirty million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 41 51 55 66 82 85 102 110 123 131 165 170 187 205 246 255 262 330 374 393 410 451 510 561 615 655 697 786 902 935 1122 1230 1310 1353 1394 1441 1870 1965 2091 2227 2255 2706 2805 2882 3485 3930 4182 4323 4454 4510 5371 5610 6681 6765 6970 7205 7667 8646 10455 10742 11135 13362 13530 14410 15334 16113 20910 21615 22270 23001 24497 26855 32226 33405 38335 43230 46002 48994 53710 59081 66810 73491 76670 80565 91307 115005 118162 122485 146982 161130 177243 182614 230010 244970 273921 295405 354486 367455 456535 547842 590810 734910 886215 913070 1004377 1369605 1772430 2008754 2739210 3013131 5021885 6026262 10043770 15065655 30131310