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2130312320 = 2754317723
BaseRepresentation
bin111111011111001…
…1111110010000000
312111110120002010022
41332332133302000
513330324443240
6551215553012
7103535233043
oct17676376200
95443502108
102130312320
119a35621a4
124b552b768
1327c472046
14162cdac5a
15c70539b5
hex7ef9fc80

2130312320 has 64 divisors (see below), whose sum is σ = 5105255040. Its totient is φ = 850037760.

The previous prime is 2130312299. The next prime is 2130312323. The reversal of 2130312320 is 232130312.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2130312323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271979 + ... + 279701.

It is an arithmetic number, because the mean of its divisors is an integer number (79769610).

Almost surely, 22130312320 is an apocalyptic number.

2130312320 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 2130312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552627520).

2130312320 is an abundant number, since it is smaller than the sum of its proper divisors (2974942720).

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

2130312320 is an equidigital number, since it uses as much as digits as its factorization.

2130312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2130312320 is about 46155.3065204858. The cubic root of 2130312320 is about 1286.7112348503.

Adding to 2130312320 its reverse (232130312), we get a palindrome (2362442632).

The spelling of 2130312320 in words is "two billion, one hundred thirty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 431 640 862 1724 2155 3448 4310 6896 7723 8620 13792 15446 17240 27584 30892 34480 38615 55168 61784 68960 77230 123568 137920 154460 247136 275840 308920 494272 617840 988544 1235680 2471360 3328613 4942720 6657226 13314452 16643065 26628904 33286130 53257808 66572260 106515616 133144520 213031232 266289040 426062464 532578080 1065156160 2130312320