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2320001010 = 2325374331609
BaseRepresentation
bin1000101001001000…
…0110011111110010
312222200111021002100
42022102012133302
514222410013020
61022113401230
7111330453225
oct21222063762
95880437070
102320001010
11a90642108
12548b69216
132ac858b82
141801975bc
15d8a22a90
hex8a4867f2

2320001010 has 96 divisors (see below), whose sum is σ = 6213196080. Its totient is φ = 600182784.

The previous prime is 2320000997. The next prime is 2320001011. The reversal of 2320001010 is 101000232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1721171169 + 598829841 = 41487^2 + 24471^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2320000983 and 2320001001.

It is not an unprimeable number, because it can be changed into a prime (2320001011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441086 + ... + 1442694.

Almost surely, 22320001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106598040).

2320001010 is an abundant number, since it is smaller than the sum of its proper divisors (3893195070).

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

2320001010 is a wasteful number, since it uses less digits than its factorization.

2320001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2320001010 is about 48166.3887996599. The cubic root of 2320001010 is about 1323.8213817115.

Adding to 2320001010 its reverse (101000232), we get a palindrome (2421001242).

The spelling of 2320001010 in words is "two billion, three hundred twenty million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 433 555 666 866 1110 1299 1609 1665 2165 2598 3218 3330 3897 4330 4827 6495 7794 8045 9654 12990 14481 16021 16090 19485 24135 28962 32042 38970 48063 48270 59533 72405 80105 96126 119066 144189 144810 160210 178599 240315 288378 297665 357198 480630 535797 595330 696697 720945 892995 1071594 1393394 1441890 1785990 2090091 2678985 3483485 4180182 5357970 6270273 6966970 10450455 12540546 20900910 25777789 31351365 51555578 62702730 77333367 128888945 154666734 232000101 257777890 386666835 464000202 773333670 1160000505 2320001010