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131710104 = 2333738353
BaseRepresentation
bin1111101100110…
…11110010011000
3100011211120022000
413312123302120
5232204210404
621023001000
73156342321
oct766336230
9304746260
10131710104
116838a829
1238139160
1321396c96
14136c7448
15b86a339
hex7d9bc98

131710104 has 64 divisors (see below), whose sum is σ = 370917600. Its totient is φ = 43296768.

The previous prime is 131710099. The next prime is 131710129. The reversal of 131710104 is 401017131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11592 + ... + 19944.

Almost surely, 2131710104 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 131710104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185458800).

131710104 is an abundant number, since it is smaller than the sum of its proper divisors (239207496).

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

131710104 is a wasteful number, since it uses less digits than its factorization.

131710104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 131710104 is about 11476.5022546070. The cubic root of 131710104 is about 508.7913246118.

Adding to 131710104 its reverse (401017131), we get a palindrome (532727235).

The spelling of 131710104 in words is "one hundred thirty-one million, seven hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 8353 15768 16706 25059 33412 50118 66824 75177 100236 150354 200472 225531 300708 451062 601416 609769 902124 1219538 1804248 1829307 2439076 3658614 4878152 5487921 7317228 10975842 14634456 16463763 21951684 32927526 43903368 65855052 131710104