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2331100320 = 253519325163
BaseRepresentation
bin1000101011110001…
…1100010010100000
320000110101011110220
42022330130102200
514233230202240
61023151323040
7111524011563
oct21274342240
96013334426
102331100320
11a9693319a
12550820480
132b1c43c03
141818464da
15d99b65d0
hex8af1c4a0

2331100320 has 96 divisors (see below), whose sum is σ = 7381305792. Its totient is φ = 618381312.

The previous prime is 2331100319. The next prime is 2331100339. The reversal of 2331100320 is 230011332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2331100320.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 80059 + ... + 105221.

It is an arithmetic number, because the mean of its divisors is an integer number (76888602).

Almost surely, 22331100320 is an apocalyptic number.

2331100320 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 2331100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690652896).

2331100320 is an abundant number, since it is smaller than the sum of its proper divisors (5050205472).

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

2331100320 is a wasteful number, since it uses less digits than its factorization.

2331100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25374 (or 25366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2331100320 is about 48281.4697373640. The cubic root of 2331100320 is about 1325.9291586449.

Adding to 2331100320 its reverse (230011332), we get a palindrome (2561111652).

The spelling of 2331100320 in words is "two billion, three hundred thirty-one million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 15440 18528 23160 25163 30880 46320 50326 75489 92640 100652 125815 150978 201304 251630 301956 377445 402608 503260 603912 754890 805216 1006520 1207824 1509780 2013040 2415648 3019560 4026080 4856459 6039120 9712918 12078240 14569377 19425836 24282295 29138754 38851672 48564590 58277508 72846885 77703344 97129180 116555016 145693770 155406688 194258360 233110032 291387540 388516720 466220064 582775080 777033440 1165550160 2331100320