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31011168 = 2531073019
BaseRepresentation
bin111011001001…
…1000101100000
32011100112022210
41312103011200
530414324133
63024402120
7524406366
oct166230540
964315283
1031011168
1116561171
12a476340
13656a306
144193636
152ac8763
hex1d93160

31011168 has 48 divisors (see below), whose sum is σ = 82192320. Its totient is φ = 10237056.

The previous prime is 31011163. The next prime is 31011181. The reversal of 31011168 is 86111013.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31011161) by changing a digit.

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, 8763 + ... + 11781.

It is an arithmetic number, because the mean of its divisors is an integer number (1712340).

Almost surely, 231011168 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 31011168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41096160).

31011168 is an abundant number, since it is smaller than the sum of its proper divisors (51181152).

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

31011168 is a wasteful number, since it uses less digits than its factorization.

31011168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 31011168 is about 5568.7671885257. The cubic root of 31011168 is about 314.1757843004.

The spelling of 31011168 in words is "thirty-one million, eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3019 3424 5136 6038 9057 10272 12076 18114 24152 36228 48304 72456 96608 144912 289824 323033 646066 969099 1292132 1938198 2584264 3876396 5168528 7752792 10337056 15505584 31011168