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2321203120 = 245173155057
BaseRepresentation
bin1000101001011010…
…1011111110110000
312222202202100001221
42022112223332300
514223211444440
61022155234424
7111343621015
oct21226537660
95882670057
102321203120
11a91293295
12549448a14
132acb8a092
141803cb70c
15d8badd4a
hex8a5abfb0

2321203120 has 80 divisors (see below), whose sum is σ = 5898693888. Its totient is φ = 845660160.

The previous prime is 2321203111. The next prime is 2321203127. The reversal of 2321203120 is 213021232.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2321203094 and 2321203103.

It is not an unprimeable number, because it can be changed into a prime (2321203127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14632 + ... + 69688.

Almost surely, 22321203120 is an apocalyptic number.

2321203120 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 2321203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949346944).

2321203120 is an abundant number, since it is smaller than the sum of its proper divisors (3577490768).

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

2321203120 is a wasteful number, since it uses less digits than its factorization.

2321203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55118 (or 55112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2321203120 is about 48178.8659061211. The cubic root of 2321203120 is about 1324.0499885289.

Adding to 2321203120 its reverse (213021232), we get a palindrome (2534224352).

The spelling of 2321203120 in words is "two billion, three hundred twenty-one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 42160 55057 110114 220228 275285 440456 550570 880912 935969 1101140 1706767 1871938 2202280 3413534 3743876 4404560 4679845 6827068 7487752 8533835 9359690 13654136 14975504 17067670 18719380 27308272 29015039 34135340 37438760 58030078 68270680 74877520 116060156 136541360 145075195 232120312 290150390 464240624 580300780 1160601560 2321203120