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2323113120 = 2532510115973
BaseRepresentation
bin1000101001110111…
…1110010010100000
312222220100101002200
42022131332102200
514224204104440
61022304213200
7111366064356
oct21235762240
95886311080
102323113120
11a923782a9
1254a00a200
132b03a8563
141807677d6
15d8e39c30
hex8a77e4a0

2323113120 has 144 divisors (see below), whose sum is σ = 8006616072. Its totient is φ = 613324800.

The previous prime is 2323113103. The next prime is 2323113131. The reversal of 2323113120 is 213113232.

2323113120 is a `hidden beast` number, since 232 + 311 + 3 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2319000336 + 4112784 = 48156^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23231131202 = 10793709136632268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2323113093 and 2323113102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137454 + ... + 153426.

Almost surely, 22323113120 is an apocalyptic number.

2323113120 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 2323113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003308036).

2323113120 is an abundant number, since it is smaller than the sum of its proper divisors (5683502952).

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

2323113120 is a wasteful number, since it uses less digits than its factorization.

2323113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16095 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2323113120 is about 48198.6837994566. The cubic root of 2323113120 is about 1324.4130534311.

Adding to 2323113120 its reverse (213113232), we get a palindrome (2536226352).

The spelling of 2323113120 in words is "two billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2424 3030 3232 3636 4040 4545 4848 6060 7272 8080 9090 9696 12120 14544 15973 16160 18180 24240 29088 31946 36360 47919 48480 63892 72720 79865 95838 127784 143757 145440 159730 191676 239595 255568 287514 319460 383352 479190 511136 575028 638920 718785 766704 958380 1150056 1277840 1437570 1533408 1613273 1916760 2300112 2555680 2875140 3226546 3833520 4600224 4839819 5750280 6453092 7667040 8066365 9679638 11500560 12906184 14519457 16132730 19359276 23001120 24199095 25812368 29038914 32265460 38718552 48398190 51624736 58077828 64530920 72597285 77437104 96796380 116155656 129061840 145194570 154874208 193592760 232311312 258123680 290389140 387185520 464622624 580778280 774371040 1161556560 2323113120