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31101328 = 2419263389
BaseRepresentation
bin111011010100…
…1000110010000
32011112010000001
41312221012100
530430220303
63030335344
7525233266
oct166510620
964463001
1031101328
1116612985
12a4ba554
13659c36b
1441b8436
152ae531d
hex1da9190

31101328 has 40 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 14638464.

The previous prime is 31101299. The next prime is 31101373. The reversal of 31101328 is 82310113.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 79758 + ... + 80146.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 231101328 is an apocalyptic number.

31101328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31101328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).

31101328 is an abundant number, since it is smaller than the sum of its proper divisors (32733872).

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

31101328 is a wasteful number, since it uses less digits than its factorization.

31101328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 31101328 is about 5576.8564622016. The cubic root of 31101328 is about 314.4799616189.

The spelling of 31101328 in words is "thirty-one million, one hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 263 304 389 526 778 1052 1556 2104 3112 4208 4997 6224 7391 9994 14782 19988 29564 39976 59128 79952 102307 118256 204614 409228 818456 1636912 1943833 3887666 7775332 15550664 31101328