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2113132300 = 22521710711617
BaseRepresentation
bin111110111110011…
…1101011100001100
312110021020020120021
41331330331130030
513311430213200
6545403431524
7103236220366
oct17574753414
95407206507
102113132300
11994898634
124ab8255a4
13278a38356
14160907d36
15c57ad41a
hex7df3d70c

2113132300 has 72 divisors (see below), whose sum is σ = 4901030064. Its totient is φ = 788029440.

The previous prime is 2113132277. The next prime is 2113132303. The reversal of 2113132300 is 32313112.

It is not an unprimeable number, because it can be changed into a prime (2113132303) 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, 176092 + ... + 187708.

It is an arithmetic number, because the mean of its divisors is an integer number (68069862).

Almost surely, 22113132300 is an apocalyptic number.

2113132300 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 2113132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450515032).

2113132300 is an abundant number, since it is smaller than the sum of its proper divisors (2787897764).

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

2113132300 is a wasteful number, since it uses less digits than its factorization.

2113132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2113132300 is about 45968.8187796902. The cubic root of 2113132300 is about 1283.2429770907.

Adding to 2113132300 its reverse (32313112), we get a palindrome (2145445412).

The spelling of 2113132300 in words is "two billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 340 425 428 535 850 1070 1700 1819 2140 2675 3638 5350 7276 9095 10700 11617 18190 23234 36380 45475 46468 58085 90950 116170 181900 197489 232340 290425 394978 580850 789956 987445 1161700 1243019 1974890 2486038 3949780 4937225 4972076 6215095 9874450 12430190 19748900 21131323 24860380 31075475 42262646 62150950 84525292 105656615 124301900 211313230 422626460 528283075 1056566150 2113132300