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2100002300 = 22521147151269
BaseRepresentation
bin111110100101011…
…0111110111111100
312102100112011120222
41331022313313330
513300100033200
6544214200512
7103016503454
oct17512676774
95370464528
102100002300
1198843a8a0
124a7353138
132760bbc16
1415cc8ad64
15c4567d85
hex7d2b7dfc

2100002300 has 144 divisors (see below), whose sum is σ = 5129671680. Its totient is φ = 739680000.

The previous prime is 2100002273. The next prime is 2100002369. The reversal of 2100002300 is 32000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7806566 + ... + 7806834.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 22100002300 is an apocalyptic number.

2100002300 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 2100002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840).

2100002300 is an abundant number, since it is smaller than the sum of its proper divisors (3029669380).

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

2100002300 is a wasteful number, since it uses less digits than its factorization.

2100002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

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

The square root of 2100002300 is about 45825.7820446089. The cubic root of 2100002300 is about 1280.5796325004.

Adding to 2100002300 its reverse (32000012), we get a palindrome (2132002312).

The spelling of 2100002300 in words is "two billion, one hundred million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 151 188 220 235 269 275 302 470 517 538 550 604 755 940 1034 1076 1100 1175 1345 1510 1661 2068 2350 2585 2690 2959 3020 3322 3775 4700 5170 5380 5918 6644 6725 7097 7550 8305 10340 11836 12643 12925 13450 14194 14795 15100 16610 25286 25850 26900 28388 29590 33220 35485 40619 41525 50572 51700 59180 63215 70970 73975 78067 81238 83050 126430 139073 141940 147950 156134 162476 166100 177425 203095 252860 278146 295900 312268 316075 354850 390335 406190 446809 556292 632150 695365 709700 780670 812380 893618 1015475 1264300 1390730 1561340 1787236 1909093 1951675 2030950 2234045 2781460 3476825 3818186 3903350 4061900 4468090 6953650 7636372 7806700 8936180 9545465 11170225 13907300 19090930 21000023 22340450 38181860 42000046 44680900 47727325 84000092 95454650 105000115 190909300 210000230 420000460 525000575 1050001150 2100002300