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31801120 = 2551315289
BaseRepresentation
bin111100101001…
…1111100100000
32012211122221021
41321103330200
531120113440
63053335224
7534206431
oct171237440
965748837
1031801120
1116a5071a
12a797514
136785a40
14431b488
152bd284a
hex1e53f20

31801120 has 48 divisors (see below), whose sum is σ = 80914680. Its totient is φ = 11741184.

The previous prime is 31801103. The next prime is 31801127. The reversal of 31801120 is 2110813.

It can be written as a sum of positive squares in 4 ways, for example, as 21790224 + 10010896 = 4668^2 + 3164^2 .

It is a super-2 number, since 2×318011202 = 2022622466508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31801094 and 31801103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31801127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5565 + ... + 9724.

Almost surely, 231801120 is an apocalyptic number.

It is an amenable number.

31801120 is an abundant number, since it is smaller than the sum of its proper divisors (49113560).

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

31801120 is a wasteful number, since it uses less digits than its factorization.

31801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15317 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 31801120 is about 5639.2481768406. The cubic root of 31801120 is about 316.8211299378.

Adding to 31801120 its reverse (2110813), we get a palindrome (33911933).

The spelling of 31801120 in words is "thirty-one million, eight hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 15289 30578 61156 76445 122312 152890 198757 244624 305780 397514 489248 611560 795028 993785 1223120 1590056 1987570 2446240 3180112 3975140 6360224 7950280 15900560 31801120