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1223003120 = 245172693343
BaseRepresentation
bin100100011100101…
…1000101111110000
310011020021222212212
41020321120233300
510001042044440
6321205111252
742210232523
oct11071305760
93136258785
101223003120
11578398389
122a16b8528
131664b97b1
14b85dabba
1572581465
hex48e58bf0

1223003120 has 80 divisors (see below), whose sum is σ = 3022842240. Its totient is φ = 458575872.

The previous prime is 1223003113. The next prime is 1223003123. The reversal of 1223003120 is 213003221.

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 = 1223003095 and 1223003104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223003123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364169 + ... + 367511.

It is an arithmetic number, because the mean of its divisors is an integer number (37785528).

Almost surely, 21223003120 is an apocalyptic number.

1223003120 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 1223003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511421120).

1223003120 is an abundant number, since it is smaller than the sum of its proper divisors (1799839120).

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

1223003120 is a wasteful number, since it uses less digits than its factorization.

1223003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3636 counting only the distinct ones).

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

The square root of 1223003120 is about 34971.4615079210. The cubic root of 1223003120 is about 1069.4057666510.

Adding to 1223003120 its reverse (213003221), we get a palindrome (1436006341).

The spelling of 1223003120 in words is "one billion, two hundred twenty-three million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 269 272 340 538 680 1076 1345 1360 2152 2690 3343 4304 4573 5380 6686 9146 10760 13372 16715 18292 21520 22865 26744 33430 36584 45730 53488 56831 66860 73168 91460 113662 133720 182920 227324 267440 284155 365840 454648 568310 899267 909296 1136620 1798534 2273240 3597068 4496335 4546480 7194136 8992670 14388272 15287539 17985340 30575078 35970680 61150156 71941360 76437695 122300312 152875390 244600624 305750780 611501560 1223003120