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203114120 = 23511974759
BaseRepresentation
bin11000001101101…
…00011010001000
3112011012021012012
430012310122020
5403444122440
632053235052
75014304306
oct1406643210
9464167165
10203114120
11a471a710
1258032a88
1333107891
141cd93276
1512c71e65
hexc1b4688

203114120 has 64 divisors (see below), whose sum is σ = 503798400. Its totient is φ = 73082880.

The previous prime is 203114117. The next prime is 203114143. The reversal of 203114120 is 21411302.

It is a junction number, because it is equal to n+sod(n) for n = 203114095 and 203114104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40301 + ... + 45059.

It is an arithmetic number, because the mean of its divisors is an integer number (7871850).

Almost surely, 2203114120 is an apocalyptic number.

203114120 is a gapful number since it is divisible by the number (20) 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 203114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251899200).

203114120 is an abundant number, since it is smaller than the sum of its proper divisors (300684280).

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

203114120 is a wasteful number, since it uses less digits than its factorization.

203114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 203114120 is about 14251.8111129779. The cubic root of 203114120 is about 587.8231763494.

Adding to 203114120 its reverse (21411302), we get a palindrome (224525422).

The spelling of 203114120 in words is "two hundred three million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1940 2134 3880 4268 4759 5335 8536 9518 10670 19036 21340 23795 38072 42680 47590 52349 95180 104698 190360 209396 261745 418792 461623 523490 923246 1046980 1846492 2093960 2308115 3692984 4616230 5077853 9232460 10155706 18464920 20311412 25389265 40622824 50778530 101557060 203114120