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131111204 = 22729612647
BaseRepresentation
bin1111101000010…
…01100100100100
3100010201010202112
413310021210210
5232031024304
621002100152
73151266260
oct764114444
9303633675
10131111204
1168010874
1237aaa658
13212174c3
14135ad0a0
15b79cb6e
hex7d09924

131111204 has 48 divisors (see below), whose sum is σ = 275815680. Its totient is φ = 53343360.

The previous prime is 131111177. The next prime is 131111207. The reversal of 131111204 is 402111131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (131111207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48209 + ... + 50855.

It is an arithmetic number, because the mean of its divisors is an integer number (5746160).

Almost surely, 2131111204 is an apocalyptic number.

131111204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131111204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137907840).

131111204 is an abundant number, since it is smaller than the sum of its proper divisors (144704476).

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

131111204 is a wasteful number, since it uses less digits than its factorization.

131111204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 131111204 is about 11450.3800810279. The cubic root of 131111204 is about 508.0189764957.

Adding to 131111204 its reverse (402111131), we get a palindrome (533222335).

The spelling of 131111204 in words is "one hundred thirty-one million, one hundred eleven thousand, two hundred four".

Divisors: 1 2 4 7 14 28 29 58 61 116 122 203 244 406 427 812 854 1708 1769 2647 3538 5294 7076 10588 12383 18529 24766 37058 49532 74116 76763 153526 161467 307052 322934 537341 645868 1074682 1130269 2149364 2260538 4521076 4682543 9365086 18730172 32777801 65555602 131111204