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131453316 = 223217347619
BaseRepresentation
bin1111101010111…
…01000110000100
3100011100112001100
413311131012010
5232123001231
621013300100
73154222551
oct765350604
9304315040
10131453316
1168224905
1238034630
1321307137
141365ba28
15b8191e6
hex7d5d184

131453316 has 72 divisors (see below), whose sum is σ = 353414880. Its totient is φ = 41054976.

The previous prime is 131453297. The next prime is 131453323. The reversal of 131453316 is 613354131.

It is a self number, because there is not a number n which added to its sum of digits gives 131453316.

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, 212055 + ... + 212673.

It is an arithmetic number, because the mean of its divisors is an integer number (4908540).

Almost surely, 2131453316 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 131453316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176707440).

131453316 is an abundant number, since it is smaller than the sum of its proper divisors (221961564).

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

131453316 is a wasteful number, since it uses less digits than its factorization.

131453316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 131453316 is about 11465.3092413593. The cubic root of 131453316 is about 508.4604552686.

It can be divided in two parts, 131453 and 316, that added together give a square (131769 = 3632).

The spelling of 131453316 in words is "one hundred thirty-one million, four hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 347 612 619 694 1041 1238 1388 1857 2082 2476 3123 3714 4164 5571 5899 6246 7428 10523 11142 11798 12492 17697 21046 22284 23596 31569 35394 42092 53091 63138 70788 94707 106182 126276 189414 212364 214793 378828 429586 644379 859172 1288758 1933137 2577516 3651481 3866274 7302962 7732548 10954443 14605924 21908886 32863329 43817772 65726658 131453316