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2100041300 = 225276744777
BaseRepresentation
bin111110100101100…
…0001011001010100
312102100121011002102
41331023001121110
513300102310200
6544215101232
7103020025250
oct17513013124
95370534072
102100041300
11988467125
124a7371818
132761038b6
1415cc9b260
15c45746d5
hex7d2c1654

2100041300 has 72 divisors (see below), whose sum is σ = 5285953344. Its totient is φ = 709251840.

The previous prime is 2100041269. The next prime is 2100041303. The reversal of 2100041300 is 31400012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100041303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24512 + ... + 69288.

Almost surely, 22100041300 is an apocalyptic number.

2100041300 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 2100041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642976672).

2100041300 is an abundant number, since it is smaller than the sum of its proper divisors (3185912044).

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

2100041300 is a wasteful number, since it uses less digits than its factorization.

2100041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44865 (or 44858 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2100041300 is about 45826.2075672862. The cubic root of 2100041300 is about 1280.5875598403.

Adding to 2100041300 its reverse (31400012), we get a palindrome (2131441312).

The spelling of 2100041300 in words is "two billion, one hundred million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2345 3350 4690 6700 9380 11725 23450 44777 46900 89554 179108 223885 313439 447770 626878 895540 1119425 1253756 1567195 2238850 3000059 3134390 4477700 6000118 6268780 7835975 12000236 15000295 15671950 21000413 30000590 31343900 42000826 60001180 75001475 84001652 105002065 150002950 210004130 300005900 420008260 525010325 1050020650 2100041300