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131317104 = 2432923253
BaseRepresentation
bin1111101001110…
…11110101110000
3100011002121012110
413310323311300
5232104121404
621010325320
73153114462
oct764736560
9304077173
10131317104
1168141536
1237b89840
132128a139
1413624132
15b7ddb89
hex7d3bd70

131317104 has 60 divisors (see below), whose sum is σ = 351445016. Its totient is φ = 42249984.

The previous prime is 131317099. The next prime is 131317117. The reversal of 131317104 is 401713131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38742 + ... + 41994.

Almost surely, 2131317104 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 131317104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175722508).

131317104 is an abundant number, since it is smaller than the sum of its proper divisors (220127912).

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

131317104 is a wasteful number, since it uses less digits than its factorization.

131317104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 131317104 is about 11459.3675218138. The cubic root of 131317104 is about 508.2847722371.

The spelling of 131317104 in words is "one hundred thirty-one million, three hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 841 1392 1682 2523 3253 3364 5046 6506 6728 9759 10092 13012 13456 19518 20184 26024 39036 40368 52048 78072 94337 156144 188674 283011 377348 566022 754696 1132044 1509392 2264088 2735773 4528176 5471546 8207319 10943092 16414638 21886184 32829276 43772368 65658552 131317104