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1203023120 = 245132101881
BaseRepresentation
bin100011110110100…
…1010110100010000
310002211200220110212
41013231022310100
54430433214440
6315212543252
741545346015
oct10755126420
93084626425
101203023120
11568091092
12296a81b28
13162312500
14b5ab970c
1570936465
hex47b4ad10

1203023120 has 120 divisors (see below), whose sum is σ = 3062194632. Its totient is φ = 439296000.

The previous prime is 1203023111. The next prime is 1203023161. The reversal of 1203023120 is 213203021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 544382224 + 658640896 = 23332^2 + 25664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1203023095 and 1203023104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365080 + ... + 1365960.

Almost surely, 21203023120 is an apocalyptic number.

1203023120 is a gapful number since it is divisible by the number (10) 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 1203023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531097316).

1203023120 is an abundant number, since it is smaller than the sum of its proper divisors (1859171512).

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

1203023120 is a wasteful number, since it uses less digits than its factorization.

1203023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1002 counting only the distinct ones).

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

The square root of 1203023120 is about 34684.6236825484. The cubic root of 1203023120 is about 1063.5501942913.

Adding to 1203023120 its reverse (213203021), we get a palindrome (1416226141).

The spelling of 1203023120 in words is "one billion, two hundred three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 169 202 208 260 338 404 505 520 676 808 845 881 1010 1040 1313 1352 1616 1690 1762 2020 2626 2704 3380 3524 4040 4405 5252 6565 6760 7048 8080 8810 10504 11453 13130 13520 14096 17069 17620 21008 22906 26260 34138 35240 45812 52520 57265 68276 70480 85345 88981 91624 105040 114530 136552 148889 170690 177962 183248 229060 273104 297778 341380 355924 444905 458120 595556 682760 711848 744445 889810 916240 1156753 1191112 1365520 1423696 1488890 1779620 2313506 2382224 2977780 3559240 4627012 5783765 5955560 7118480 9254024 11567530 11911120 15037789 18508048 23135060 30075578 46270120 60151156 75188945 92540240 120302312 150377890 240604624 300755780 601511560 1203023120