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102031056 = 2433257919
BaseRepresentation
bin1100001010011…
…01111011010000
321002222201022000
412011031323100
5202104443211
614042514000
72346151431
oct605157320
9232881260
10102031056
1152659496
122a205900
13181a510a
14d79d488
158e56656
hex614ded0

102031056 has 80 divisors (see below), whose sum is σ = 294326400. Its totient is φ = 33841152.

The previous prime is 102031051. The next prime is 102031067. The reversal of 102031056 is 650130201.

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 (102031051) 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 15 ways as a sum of consecutive naturals, for example, 110565 + ... + 111483.

It is an arithmetic number, because the mean of its divisors is an integer number (3679080).

Almost surely, 2102031056 is an apocalyptic number.

102031056 is a gapful number since it is divisible by the number (16) 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 102031056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147163200).

102031056 is an abundant number, since it is smaller than the sum of its proper divisors (192295344).

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

102031056 is a wasteful number, since it uses less digits than its factorization.

102031056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102031056 is about 10101.0423224537. The cubic root of 102031056 is about 467.2802875796.

Adding to 102031056 its reverse (650130201), we get a palindrome (752161257).

The spelling of 102031056 in words is "one hundred two million, thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 257 432 514 771 919 1028 1542 1838 2056 2313 2757 3084 3676 4112 4626 5514 6168 6939 7352 8271 9252 11028 12336 13878 14704 16542 18504 22056 24813 27756 33084 37008 44112 49626 55512 66168 99252 111024 132336 198504 236183 397008 472366 708549 944732 1417098 1889464 2125647 2834196 3778928 4251294 5668392 6376941 8502588 11336784 12753882 17005176 25507764 34010352 51015528 102031056