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2302013000 = 23537476997
BaseRepresentation
bin1000100100110101…
…1110111001001000
312221102122101011202
42021031132321020
514203303404000
61020232043332
7111021534110
oct21115367110
95842571152
102302013000
11a81476491
12542b33548
132a8bcb491
1417ba34040
15d716cdd5
hex8935ee48

2302013000 has 128 divisors (see below), whose sum is σ = 6288122880. Its totient is φ = 772358400.

The previous prime is 2302012997. The next prime is 2302013099. The reversal of 2302013000 is 3102032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325502 + ... + 332498.

It is an arithmetic number, because the mean of its divisors is an integer number (49125960).

Almost surely, 22302013000 is an apocalyptic number.

2302013000 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 2302013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144061440).

2302013000 is an abundant number, since it is smaller than the sum of its proper divisors (3986109880).

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

2302013000 is a wasteful number, since it uses less digits than its factorization.

2302013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2302013000 is about 47979.2976188689. The cubic root of 2302013000 is about 1320.3911069407.

Adding to 2302013000 its reverse (3102032), we get a palindrome (2305115032).

The spelling of 2302013000 in words is "two billion, three hundred two million, thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 200 235 250 280 329 350 376 470 500 658 700 875 940 1000 1175 1316 1400 1645 1750 1880 2350 2632 3290 3500 4700 5875 6580 6997 7000 8225 9400 11750 13160 13994 16450 23500 27988 32900 34985 41125 47000 48979 55976 65800 69970 82250 97958 139940 164500 174925 195916 244895 279880 328859 329000 349850 391832 489790 657718 699700 874625 979580 1224475 1315436 1399400 1644295 1749250 1959160 2302013 2448950 2630872 3288590 3498500 4604026 4897900 6122375 6577180 6997000 8221475 9208052 9795800 11510065 12244750 13154360 16442950 18416104 23020130 24489500 32885900 41107375 46040260 48979000 57550325 65771800 82214750 92080520 115100650 164429500 230201300 287751625 328859000 460402600 575503250 1151006500 2302013000