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102020112 = 2432708473
BaseRepresentation
bin1100001010010…
…11010000010000
321002222011021200
412011023100100
5202104120422
614042351200
72346104505
oct605132020
9232864250
10102020112
1152651247
122a1bb500
13181a013c
14d7994ac
158e532ac
hex614b410

102020112 has 30 divisors (see below), whose sum is σ = 285515022. Its totient is φ = 34006656.

The previous prime is 102020099. The next prime is 102020119. The reversal of 102020112 is 211020201.

It can be written as a sum of positive squares in only one way, i.e., 82519056 + 19501056 = 9084^2 + 4416^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102020094 and 102020103.

It is not an unprimeable number, because it can be changed into a prime (102020119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354093 + ... + 354380.

Almost surely, 2102020112 is an apocalyptic number.

102020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102020112 is an abundant number, since it is smaller than the sum of its proper divisors (183494910).

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

102020112 is a wasteful number, since it uses less digits than its factorization.

102020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708487 (or 708478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102020112 is about 10100.5005816544. The cubic root of 102020112 is about 467.2635799270.

Adding to 102020112 its reverse (211020201), we get a palindrome (313040313).

The spelling of 102020112 in words is "one hundred two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 708473 1416946 2125419 2833892 4250838 5667784 6376257 8501676 11335568 12752514 17003352 25505028 34006704 51010056 102020112