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2002110011200 = 26521327404253
BaseRepresentation
bin11101001000100111000…
…011100101011101000000
321002101210111012112012001
4131020213003211131000
5230300310130324300
64131431233513344
7264435103206145
oct35104703453500
97071714175161
102002110011200
117020a99a74a2
12284032712854
13116a4b748c00
146cc8cbc43cc
153712d37116a
hex1d2270e5740

2002110011200 has 126 divisors (see below), whose sum is σ = 5334550283634. Its totient is φ = 739240519680.

The previous prime is 2002110011197. The next prime is 2002110011203. The reversal of 2002110011200 is 21100112002.

It is an interprime number because it is at equal distance from previous prime (2002110011197) and next prime (2002110011203).

It can be written as a sum of positive squares in 9 ways, for example, as 1811113042176 + 190996969024 = 1345776^2 + 437032^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002110011203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3431727 + ... + 3972526.

Almost surely, 22002110011200 is an apocalyptic number.

2002110011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002110011200 is an abundant number, since it is smaller than the sum of its proper divisors (3332440272434).

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

2002110011200 is a wasteful number, since it uses less digits than its factorization.

2002110011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404301 (or 7404273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2002110011200 its reverse (21100112002), we get a palindrome (2023210123202).

The spelling of 2002110011200 in words is "two trillion, two billion, one hundred ten million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 169 200 208 260 320 325 338 400 416 520 650 676 800 832 845 1040 1300 1352 1600 1690 2080 2600 2704 3380 4160 4225 5200 5408 6760 8450 10400 10816 13520 16900 20800 27040 33800 54080 67600 135200 270400 7404253 14808506 29617012 37021265 59234024 74042530 96255289 118468048 148085060 185106325 192510578 236936096 296170120 370212650 385021156 473872192 481276445 592340240 740425300 770042312 962552890 1184680480 1251318757 1480850600 1540084624 1925105780 2369360960 2406382225 2502637514 2961701200 3080169248 3850211560 4812764450 5005275028 5923402400 6160338496 6256593785 7700423120 9625528900 10010550056 11846804800 12513187570 15400846240 19251057800 20021100112 25026375140 30801692480 31282968925 38502115600 40042200224 50052750280 62565937850 77004231200 80084400448 100105500560 125131875700 154008462400 200211001120 250263751400 400422002240 500527502800 1001055005600 2002110011200