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131220352 = 2737103269
BaseRepresentation
bin1111101001001…
…00001110000000
3100010220200111001
413310210032000
5232043022402
621004301344
73152232424
oct764441600
9303820431
10131220352
116808587a
1237b41854
13212550a3
14135dab84
15b7c0187
hex7d24380

131220352 has 64 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 62982144.

The previous prime is 131220329. The next prime is 131220361. The reversal of 131220352 is 253022131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487674 + ... + 487942.

Almost surely, 2131220352 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 131220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

131220352 is an abundant number, since it is smaller than the sum of its proper divisors (140874848).

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

131220352 is a wasteful number, since it uses less digits than its factorization.

131220352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 131220352 is about 11455.1452195073. The cubic root of 131220352 is about 508.1599099776.

Adding to 131220352 its reverse (253022131), we get a palindrome (384242483).

The spelling of 131220352 in words is "one hundred thirty-one million, two hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 103 128 148 206 269 296 412 538 592 824 1076 1184 1648 2152 2368 3296 3811 4304 4736 6592 7622 8608 9953 13184 15244 17216 19906 27707 30488 34432 39812 55414 60976 79624 110828 121952 159248 221656 243904 318496 443312 487808 636992 886624 1025159 1273984 1773248 2050318 3546496 4100636 8201272 16402544 32805088 65610176 131220352