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2300001300 = 22325219134503
BaseRepresentation
bin1000100100010111…
…0011110000010100
312221021212011122100
42021011303300110
514202300020200
61020121002100
7110665455102
oct21105636024
95837764570
102300001300
11a80322023
12542323330
132a867591c
1417b66cc72
15d6dc1d00
hex89173c14

2300001300 has 108 divisors (see below), whose sum is σ = 7588715680. Its totient is φ = 581048640.

The previous prime is 2300001299. The next prime is 2300001317. The reversal of 2300001300 is 31000032.

It is a happy number.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 50152 + ... + 84351.

Almost surely, 22300001300 is an apocalyptic number.

2300001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300001300 is an abundant number, since it is smaller than the sum of its proper divisors (5288714380).

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

2300001300 is a wasteful number, since it uses less digits than its factorization.

2300001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134542 (or 134532 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2300001300 is about 47958.3287865622. The cubic root of 2300001300 is about 1320.0063704927.

Adding to 2300001300 its reverse (31000032), we get a palindrome (2331001332).

The spelling of 2300001300 in words is "two billion, three hundred million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 134503 269006 403509 538012 672515 807018 1210527 1345030 1614036 2017545 2421054 2555557 2690060 3362575 4035090 4842108 5111114 6052635 6725150 7666671 8070180 10087725 10222228 12105270 12777785 13450300 15333342 20175450 23000013 24210540 25555570 30263175 30666684 38333355 40350900 46000026 51111140 60526350 63888925 76666710 92000052 115000065 121052700 127777850 153333420 191666775 230000130 255555700 383333550 460000260 575000325 766667100 1150000650 2300001300