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1230003120 = 24353125333
BaseRepresentation
bin100100101010000…
…0101101110110000
310011201110122002010
41021110011232300
510004340044440
6322015122520
742323565633
oct11124055660
93151418063
101230003120
11581339605
122a3b13440
13167a9a9c8
14b94ddc1a
1572eb5580
hex49505bb0

1230003120 has 120 divisors (see below), whose sum is σ = 3940716528. Its totient is φ = 317360640.

The previous prime is 1230003109. The next prime is 1230003121. The reversal of 1230003120 is 213000321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1230003096 and 1230003105.

It is not an unprimeable number, because it can be changed into a prime (1230003121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 227974 + ... + 233306.

Almost surely, 21230003120 is an apocalyptic number.

1230003120 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 1230003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970358264).

1230003120 is an abundant number, since it is smaller than the sum of its proper divisors (2710713408).

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

1230003120 is a wasteful number, since it uses less digits than its factorization.

1230003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1230003120 is about 35071.4003142161. The cubic root of 1230003120 is about 1071.4421756241.

Adding to 1230003120 its reverse (213000321), we get a palindrome (1443003441).

The spelling of 1230003120 in words is "one billion, two hundred thirty million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 961 1240 1488 1860 1922 2480 2883 3720 3844 4805 5333 5766 7440 7688 9610 10666 11532 14415 15376 15999 19220 21332 23064 26665 28830 31998 38440 42664 46128 53330 57660 63996 76880 79995 85328 106660 115320 127992 159990 165323 213320 230640 255984 319980 330646 426640 495969 639960 661292 826615 991938 1279920 1322584 1653230 1983876 2479845 2645168 3306460 3967752 4959690 5125013 6612920 7935504 9919380 10250026 13225840 15375039 19838760 20500052 25625065 30750078 39677520 41000104 51250130 61500156 76875195 82000208 102500260 123000312 153750390 205000520 246000624 307500780 410001040 615001560 1230003120