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20011330202200 = 23521012681336947
BaseRepresentation
bin1001000110011010000000…
…01110100110101001011000
32121212001202000020102011021
410203031000032212221120
510110331201012432300
6110321024515412224
74133525263114231
oct443150016465130
977761660212137
1020011330202200
116415837228707
1222b23b5bb4074
13b220a27521ac
144d27a6d24088
1524a8198ecd1a
hex1233403a6a58

20011330202200 has 96 divisors (see below), whose sum is σ = 46990023762960. Its totient is φ = 7924769216000.

The previous prime is 20011330202137. The next prime is 20011330202209. The reversal of 20011330202200 is 220203311002.

It is a super-2 number, since 2×200113302022002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011330202209) 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, 541604127 + ... + 541641073.

Almost surely, 220011330202200 is an apocalyptic number.

20011330202200 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 20011330202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23495011881480).

20011330202200 is an abundant number, since it is smaller than the sum of its proper divisors (26978693560760).

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

20011330202200 is a wasteful number, since it uses less digits than its factorization.

20011330202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63877 (or 63868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20011330202200 its reverse (220203311002), we get a palindrome (20231533513202).

The spelling of 20011330202200 in words is "twenty trillion, eleven billion, three hundred thirty million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 26813 36947 53626 73894 107252 134065 147788 184735 214504 268130 295576 369470 536260 670325 738940 923675 1072520 1340650 1477880 1847350 2681300 2708113 3694700 3731647 5362600 5416226 7389400 7463294 10832452 13540565 14926588 18658235 21664904 27081130 29853176 37316470 54162260 67702825 74632940 93291175 108324520 135405650 149265880 186582350 270811300 373164700 541622600 746329400 990659911 1981319822 3962639644 4953299555 7925279288 9906599110 19813198220 24766497775 39626396440 49532995550 99065991100 100056651011 198131982200 200113302022 400226604044 500283255055 800453208088 1000566510110 2001133020220 2501416275275 4002266040440 5002832550550 10005665101100 20011330202200