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131323104 = 25321141453
BaseRepresentation
bin1111101001111…
…01010011100000
3100011002220102200
413310331103200
5232104314404
621010413200
73153141123
oct764752340
9304086380
10131323104
1168145aa0
1237b91200
132128caa3
14136263ba
15b7e0839
hex7d3d4e0

131323104 has 72 divisors (see below), whose sum is σ = 407409912. Its totient is φ = 39793920.

The previous prime is 131323103. The next prime is 131323111. The reversal of 131323104 is 401323131.

131323104 = T224 + T225 + ... + T927.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17559 + ... + 23894.

It is an arithmetic number, because the mean of its divisors is an integer number (5658471).

Almost surely, 2131323104 is an apocalyptic number.

It is an amenable number.

131323104 is an abundant number, since it is smaller than the sum of its proper divisors (276086808).

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

131323104 is a wasteful number, since it uses less digits than its factorization.

131323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41480 (or 41469 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131323104 is about 11459.6293133766. The cubic root of 131323104 is about 508.2925134531.

Adding to 131323104 its reverse (401323131), we get a palindrome (532646235).

The spelling of 131323104 in words is "one hundred thirty-one million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 41453 82906 124359 165812 248718 331624 373077 455983 497436 663248 746154 911966 994872 1326496 1367949 1492308 1823932 1989744 2735898 2984616 3647864 3979488 4103847 5471796 5969232 7295728 8207694 10943592 11938464 14591456 16415388 21887184 32830776 43774368 65661552 131323104