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203101312 = 271793337
BaseRepresentation
bin11000001101100…
…01010010000000
3112011011121121211
430012301102000
5403443220222
632053055504
75014222051
oct1406612200
9464147554
10203101312
11a4711027
1258027594
1333101abb
141cd8c728
1512c6d277
hexc1b1480

203101312 has 32 divisors (see below), whose sum is σ = 428421420. Its totient is φ = 95576064.

The previous prime is 203101307. The next prime is 203101319. The reversal of 203101312 is 213101302.

It can be written as a sum of positive squares in 2 ways, for example, as 201185856 + 1915456 = 14184^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2031013122 = 82500285872242688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203101292 and 203101301.

It is not an unprimeable number, because it can be changed into a prime (203101319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44493 + ... + 48844.

Almost surely, 2203101312 is an apocalyptic number.

It is an amenable number.

203101312 is an abundant number, since it is smaller than the sum of its proper divisors (225320108).

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

203101312 is an equidigital number, since it uses as much as digits as its factorization.

203101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93368 (or 93356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 203101312 is about 14251.3617594951. The cubic root of 203101312 is about 587.8108204096.

Adding to 203101312 its reverse (213101302), we get a palindrome (416202614).

The spelling of 203101312 in words is "two hundred three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 93337 186674 373348 746696 1493392 1586729 2986784 3173458 5973568 6346916 11947136 12693832 25387664 50775328 101550656 203101312