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2321315120 = 2451910314827
BaseRepresentation
bin1000101001011100…
…0111010100110000
312222202222000201002
42022113013110300
514223224040440
61022201501132
7111344565365
oct21227072460
95882860632
102321315120
11a9135a453
125494a17a8
132acbc9057
1418041a46c
15d8bd2115
hex8a5c7530

2321315120 has 80 divisors (see below), whose sum is σ = 5736656640. Its totient is φ = 871057152.

The previous prime is 2321315107. The next prime is 2321315131. The reversal of 2321315120 is 215131232.

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

It is a super-2 number, since 2×23213151202 = 10777007772681228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2321315092 and 2321315101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149147 + ... + 163973.

It is an arithmetic number, because the mean of its divisors is an integer number (71708208).

Almost surely, 22321315120 is an apocalyptic number.

2321315120 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 2321315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868328320).

2321315120 is an abundant number, since it is smaller than the sum of its proper divisors (3415341520).

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

2321315120 is a wasteful number, since it uses less digits than its factorization.

2321315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14962 (or 14956 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2321315120 is about 48180.0282274720. The cubic root of 2321315120 is about 1324.0712836944.

Adding to 2321315120 its reverse (215131232), we get a palindrome (2536446352).

The spelling of 2321315120 in words is "two billion, three hundred twenty-one million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 103 152 190 206 304 380 412 515 760 824 1030 1520 1648 1957 2060 3914 4120 7828 8240 9785 14827 15656 19570 29654 31312 39140 59308 74135 78280 118616 148270 156560 237232 281713 296540 563426 593080 1126852 1186160 1408565 1527181 2253704 2817130 3054362 4507408 5634260 6108724 7635905 11268520 12217448 15271810 22537040 24434896 29016439 30543620 58032878 61087240 116065756 122174480 145082195 232131512 290164390 464263024 580328780 1160657560 2321315120