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131120310 = 2352925197
BaseRepresentation
bin1111101000010…
…11110010110110
3100010201121020210
413310023302312
5232031322220
621002210250
73151334646
oct764136266
9303647223
10131120310
11680176a2
1237ab3986
132121b6a9
14135b2526
15b7a06e0
hex7d0bcb6

131120310 has 48 divisors (see below), whose sum is σ = 325976976. Its totient is φ = 33753216.

The previous prime is 131120257. The next prime is 131120413. The reversal of 131120310 is 13021131.

It is a super-2 number, since 2×1311203102 = 34385071388992200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22632 + ... + 27828.

It is an arithmetic number, because the mean of its divisors is an integer number (6791187).

Almost surely, 2131120310 is an apocalyptic number.

131120310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162988488).

131120310 is an abundant number, since it is smaller than the sum of its proper divisors (194856666).

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

131120310 is a wasteful number, since it uses less digits than its factorization.

131120310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131120310 is about 11450.7777028462. Note that the first 4 decimals coincide. The cubic root of 131120310 is about 508.0307372850.

Adding to 131120310 its reverse (13021131), we get a palindrome (144141441).

The spelling of 131120310 in words is "one hundred thirty-one million, one hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 841 870 1682 2523 4205 5046 5197 8410 10394 12615 15591 25230 25985 31182 51970 77955 150713 155910 301426 452139 753565 904278 1507130 2260695 4370677 4521390 8741354 13112031 21853385 26224062 43706770 65560155 131120310