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203114112 = 2734312301
BaseRepresentation
bin11000001101101…
…00011010000000
3112011012021011220
430012310122000
5403444122422
632053235040
75014304265
oct1406643200
9464167156
10203114112
11a471a703
1258032a80
1333107886
141cd9326c
1512c71e5c
hexc1b4680

203114112 has 64 divisors (see below), whose sum is σ = 552113760. Its totient is φ = 66124800.

The previous prime is 203114101. The next prime is 203114117. The reversal of 203114112 is 211411302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 203114091 and 203114100.

It is not an unprimeable number, because it can be changed into a prime (203114117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10362 + ... + 22662.

Almost surely, 2203114112 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 203114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276056880).

203114112 is an abundant number, since it is smaller than the sum of its proper divisors (348999648).

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

203114112 is a wasteful number, since it uses less digits than its factorization.

203114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12361 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 203114112 is about 14251.8108323118. The cubic root of 203114112 is about 587.8231686319.

Adding to 203114112 its reverse (211411302), we get a palindrome (414525414).

The spelling of 203114112 in words is "two hundred three million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 8256 12301 16512 24602 36903 49204 73806 98408 147612 196816 295224 393632 528943 590448 787264 1057886 1180896 1574528 1586829 2115772 2361792 3173658 4231544 4723584 6347316 8463088 12694632 16926176 25389264 33852352 50778528 67704704 101557056 203114112