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103219712 = 294492
BaseRepresentation
bin1100010011100…
…00001000000000
321012020002211022
412021300020000
5202411012322
614124205012
72362232051
oct611601000
9235202738
10103219712
11532a0552
122a699768
131850016b
14d9cc728
1590dd942
hex6270200

103219712 has 30 divisors (see below), whose sum is σ = 206698173. Its totient is φ = 51494912.

The previous prime is 103219709. The next prime is 103219717. The reversal of 103219712 is 217912301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 101929216 + 1290496 = 10096^2 + 1136^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7184.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103219717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 229664 + ... + 230112.

Almost surely, 2103219712 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 103219712

103219712 is an abundant number, since it is smaller than the sum of its proper divisors (103478461).

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

103219712 is an frugal number, since it uses more digits than its factorization.

103219712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 103219712 is about 10159.7102320883. The cubic root of 103219712 is about 469.0878824467.

The spelling of 103219712 in words is "one hundred three million, two hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 449 512 898 1796 3592 7184 14368 28736 57472 114944 201601 229888 403202 806404 1612808 3225616 6451232 12902464 25804928 51609856 103219712