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2113033200 = 2435213712853
BaseRepresentation
bin111110111110010…
…0101001111110000
312110021001012121220
41331330211033300
513311414030300
6545401345040
7103235325435
oct17574451760
95407035556
102113033200
11994830133
124ab798180
13278a02205
141608bdb8c
15c578dda0
hex7df253f0

2113033200 has 120 divisors (see below), whose sum is σ = 6818687088. Its totient is φ = 559319040.

The previous prime is 2113033189. The next prime is 2113033211. The reversal of 2113033200 is 23303112.

It is an interprime number because it is at equal distance from previous prime (2113033189) and next prime (2113033211).

It is a tau number, because it is divible by the number of its divisors (120).

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 2113033200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157974 + ... + 170826.

Almost surely, 22113033200 is an apocalyptic number.

2113033200 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 2113033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409343544).

2113033200 is an abundant number, since it is smaller than the sum of its proper divisors (4705653888).

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

2113033200 is a wasteful number, since it uses less digits than its factorization.

2113033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2113033200 is about 45967.7408624788. The cubic root of 2113033200 is about 1283.2229166072. Note that the first 3 decimals are identical.

Adding to 2113033200 its reverse (23303112), we get a palindrome (2136336312).

The spelling of 2113033200 in words is "two billion, one hundred thirteen million, thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 137 150 200 240 274 300 400 411 548 600 685 822 1096 1200 1370 1644 2055 2192 2740 3288 3425 4110 5480 6576 6850 8220 10275 10960 12853 13700 16440 20550 25706 27400 32880 38559 41100 51412 54800 64265 77118 82200 102824 128530 154236 164400 192795 205648 257060 308472 321325 385590 514120 616944 642650 771180 963975 1028240 1285300 1542360 1760861 1927950 2570600 3084720 3521722 3855900 5141200 5282583 7043444 7711800 8804305 10565166 14086888 15423600 17608610 21130332 26412915 28173776 35217220 42260664 44021525 52825830 70434440 84521328 88043050 105651660 132064575 140868880 176086100 211303320 264129150 352172200 422606640 528258300 704344400 1056516600 2113033200