Search a number
-
+
2301020000 = 25541031117
BaseRepresentation
bin1000100100100110…
…1100011101100000
312221100202221000222
42021021230131200
514203030120000
61020154502212
7111010230056
oct21111543540
95840687028
102301020000
11a80958424
12542734968
132a89414c6
1417b8561d6
15d7023a85
hex8926c760

2301020000 has 120 divisors (see below), whose sum is σ = 5720931216. Its totient is φ = 910656000.

The previous prime is 2301019997. The next prime is 2301020009. The reversal of 2301020000 is 201032.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2301020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301020009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2059442 + ... + 2060558.

Almost surely, 22301020000 is an apocalyptic number.

2301020000 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 2301020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860465608).

2301020000 is an abundant number, since it is smaller than the sum of its proper divisors (3419911216).

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

2301020000 is a wasteful number, since it uses less digits than its factorization.

2301020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1227 counting only the distinct ones).

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

The square root of 2301020000 is about 47968.9482894924. The cubic root of 2301020000 is about 1320.2012242973.

Adding to 2301020000 its reverse (201032), we get a palindrome (2301221032).

The spelling of 2301020000 in words is "two billion, three hundred one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 625 800 824 1000 1030 1117 1250 1648 2000 2060 2234 2500 2575 3296 4000 4120 4468 5000 5150 5585 8240 8936 10000 10300 11170 12875 16480 17872 20000 20600 22340 25750 27925 35744 41200 44680 51500 55850 64375 82400 89360 103000 111700 115051 128750 139625 178720 206000 223400 230102 257500 279250 412000 446800 460204 515000 558500 575255 698125 893600 920408 1030000 1117000 1150510 1396250 1840816 2060000 2234000 2301020 2792500 2876275 3681632 4468000 4602040 5585000 5752550 9204080 11170000 11505100 14381375 18408160 22340000 23010200 28762750 46020400 57525500 71906875 92040800 115051000 143813750 230102000 287627500 460204000 575255000 1150510000 2301020000