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2113132200 = 233525959693
BaseRepresentation
bin111110111110011…
…1101011010101000
312110021020020102120
41331330331122220
513311430212300
6545403431240
7103236220164
oct17574753250
95407206376
102113132200
11994898553
124ab825520
13278a382aa
14160907ca4
15c57ad3a0
hex7df3d6a8

2113132200 has 96 divisors (see below), whose sum is σ = 6661850400. Its totient is φ = 553941760.

The previous prime is 2113132159. The next prime is 2113132213. The reversal of 2113132200 is 22313112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2113132200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5554 + ... + 65246.

It is an arithmetic number, because the mean of its divisors is an integer number (69394275).

Almost surely, 22113132200 is an apocalyptic number.

2113132200 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 2113132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330925200).

2113132200 is an abundant number, since it is smaller than the sum of its proper divisors (4548718200).

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

2113132200 is a wasteful number, since it uses less digits than its factorization.

2113132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59771 (or 59762 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2113132200 is about 45968.8176919964. The cubic root of 2113132200 is about 1283.2429568484.

Adding to 2113132200 its reverse (22313112), we get a palindrome (2135445312).

The spelling of 2113132200 in words is "two billion, one hundred thirteen million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 177 200 236 295 300 354 472 590 600 708 885 1180 1416 1475 1770 2360 2950 3540 4425 5900 7080 8850 11800 17700 35400 59693 119386 179079 238772 298465 358158 477544 596930 716316 895395 1193860 1432632 1492325 1790790 2387720 2984650 3521887 3581580 4476975 5969300 7043774 7163160 8953950 10565661 11938600 14087548 17609435 17907900 21131322 28175096 35218870 35815800 42262644 52828305 70437740 84525288 88047175 105656610 140875480 176094350 211313220 264141525 352188700 422626440 528283050 704377400 1056566100 2113132200