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203123120 = 245231011093
BaseRepresentation
bin11000001101101…
…10100110110000
3112011012201112112
430012312212300
5403444414440
632053344452
75014342454
oct1406664660
9464181475
10203123120
11a4726452
1258038128
133310b9c5
141cd96664
1512c74965
hexc1b69b0

203123120 has 80 divisors (see below), whose sum is σ = 498128832. Its totient is φ = 76876800.

The previous prime is 203123117. The next prime is 203123131. The reversal of 203123120 is 21321302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 203123095 and 203123104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185294 + ... + 186386.

Almost surely, 2203123120 is an apocalyptic number.

203123120 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 203123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249064416).

203123120 is an abundant number, since it is smaller than the sum of its proper divisors (295005712).

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

203123120 is a wasteful number, since it uses less digits than its factorization.

203123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 203123120 is about 14252.1268588236. The cubic root of 203123120 is about 587.8318583824.

Adding to 203123120 its reverse (21321302), we get a palindrome (224444422).

It can be divided in two parts, 20312 and 3120, that added together give a palindrome (23432).

The spelling of 203123120 in words is "two hundred three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 101 115 184 202 230 368 404 460 505 808 920 1010 1093 1616 1840 2020 2186 2323 4040 4372 4646 5465 8080 8744 9292 10930 11615 17488 18584 21860 23230 25139 37168 43720 46460 50278 87440 92920 100556 110393 125695 185840 201112 220786 251390 402224 441572 502780 551965 883144 1005560 1103930 1766288 2011120 2207860 2539039 4415720 5078078 8831440 10156156 12695195 20312312 25390390 40624624 50780780 101561560 203123120