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2300113000 = 235343149359
BaseRepresentation
bin1000100100011000…
…1111000001101000
312221022001211212101
42021012033001220
514202312104000
61020123223144
7110666431543
oct21106170150
95838054771
102300113000
11a80398a39
12542377ab4
132a86b4713
1417b69b85a
15d6de4e6a
hex8918f068

2300113000 has 128 divisors (see below), whose sum is σ = 5559840000. Its totient is φ = 890131200.

The previous prime is 2300112979. The next prime is 2300113003. The reversal of 2300113000 is 3110032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2300113003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6406821 + ... + 6407179.

It is an arithmetic number, because the mean of its divisors is an integer number (43436250).

Almost surely, 22300113000 is an apocalyptic number.

2300113000 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 2300113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779920000).

2300113000 is an abundant number, since it is smaller than the sum of its proper divisors (3259727000).

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

2300113000 is a wasteful number, since it uses less digits than its factorization.

2300113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2300113000 is about 47959.4933250968. The cubic root of 2300113000 is about 1320.0277389335.

Adding to 2300113000 its reverse (3110032), we get a palindrome (2303223032).

The spelling of 2300113000 in words is "two billion, three hundred million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 149 172 200 215 250 298 344 359 430 500 596 718 745 860 1000 1075 1192 1436 1490 1720 1795 2150 2872 2980 3590 3725 4300 5375 5960 6407 7180 7450 8600 8975 10750 12814 14360 14900 15437 17950 18625 21500 25628 29800 30874 32035 35900 37250 43000 44875 51256 53491 61748 64070 71800 74500 77185 89750 106982 123496 128140 149000 154370 160175 179500 213964 256280 267455 308740 320350 359000 385925 427928 534910 617480 640700 771850 800875 1069820 1281400 1337275 1543700 1601750 1929625 2139640 2300113 2674550 3087400 3203500 3859250 4600226 5349100 6407000 6686375 7718500 9200452 10698200 11500565 13372750 15437000 18400904 23001130 26745500 46002260 53491000 57502825 92004520 115005650 230011300 287514125 460022600 575028250 1150056500 2300113000