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2300102000 = 24537198647
BaseRepresentation
bin1000100100011000…
…1100010101110000
312221022001021202222
42021012030111300
514202311231000
61020123100212
7110666354510
oct21106142560
95838037688
102300102000
11a80390749
12542371668
132a86ac701
1417b697840
15d6de1a85
hex8918c570

2300102000 has 160 divisors (see below), whose sum is σ = 6691476480. Its totient is φ = 747014400.

The previous prime is 2300101997. The next prime is 2300102017. The reversal of 2300102000 is 2010032.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 261677 + ... + 270323.

It is an arithmetic number, because the mean of its divisors is an integer number (41821728).

Almost surely, 22300102000 is an apocalyptic number.

2300102000 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 2300102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345738240).

2300102000 is an abundant number, since it is smaller than the sum of its proper divisors (4391374480).

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

2300102000 is a wasteful number, since it uses less digits than its factorization.

2300102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2300102000 is about 47959.3786448490. The cubic root of 2300102000 is about 1320.0256346414.

Adding to 2300102000 its reverse (2010032), we get a palindrome (2302112032).

The spelling of 2300102000 in words is "two billion, three hundred million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 175 190 200 250 266 280 304 350 380 400 475 500 532 560 665 700 760 875 950 1000 1064 1330 1400 1520 1750 1900 2000 2128 2375 2660 2800 3325 3500 3800 4750 5320 6650 7000 7600 8647 9500 10640 13300 14000 16625 17294 19000 26600 33250 34588 38000 43235 53200 60529 66500 69176 86470 121058 133000 138352 164293 172940 216175 242116 266000 302645 328586 345880 432350 484232 605290 657172 691760 821465 864700 968464 1080875 1150051 1210580 1314344 1513225 1642930 1729400 2161750 2300102 2421160 2628688 3026450 3285860 3458800 4107325 4323500 4600204 4842320 5750255 6052900 6571720 7566125 8214650 8647000 9200408 11500510 12105800 13143440 15132250 16429300 17294000 18400816 20536625 23001020 24211600 28751275 30264500 32858600 41073250 46002040 57502550 60529000 65717200 82146500 92004080 115005100 121058000 143756375 164293000 230010200 287512750 328586000 460020400 575025500 1150051000 2300102000