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2303102000 = 24533731123
BaseRepresentation
bin1000100101000110…
…1000110000110000
312221111200201000002
42021101220300300
514204043231000
61020311245132
7111034021043
oct21121506060
95844621002
102303102000
11a8204a691
125433797a8
132a91c0064
1417bc38c5a
15d72d58d5
hex89468c30

2303102000 has 80 divisors (see below), whose sum is σ = 5719595232. Its totient is φ = 896313600.

The previous prime is 2303101991. The next prime is 2303102017. The reversal of 2303102000 is 2013032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58439 + ... + 89561.

Almost surely, 22303102000 is an apocalyptic number.

2303102000 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 2303102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859797616).

2303102000 is an abundant number, since it is smaller than the sum of its proper divisors (3416493232).

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

2303102000 is a wasteful number, since it uses less digits than its factorization.

2303102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31183 (or 31167 counting only the distinct ones).

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

The square root of 2303102000 is about 47990.6449216928. The cubic root of 2303102000 is about 1320.5992840498.

Adding to 2303102000 its reverse (2013032), we get a palindrome (2305115032).

The spelling of 2303102000 in words is "two billion, three hundred three million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 31123 37000 62246 74000 124492 155615 248984 311230 497968 622460 778075 1151551 1244920 1556150 2303102 2489840 3112300 3890375 4606204 5757755 6224600 7780750 9212408 11515510 12449200 15561500 18424816 23031020 28788775 31123000 46062040 57577550 62246000 92124080 115155100 143943875 230310200 287887750 460620400 575775500 1151551000 2303102000