Search a number
-
+
11020012165600 = 2552167160151521
BaseRepresentation
bin1010000001011100101111…
…1010010001100111100000
31110000111120121002000121221
42200113023322101213200
52421022441103244400
635234305041424424
72215112113606414
oct240271372214740
943014517060557
1011020012165600
113569619638149
12129b90393b114
1361c24b49b169
142a152b306d44
151419c8529c1a
hexa05cbe919e0

11020012165600 has 144 divisors (see below), whose sum is σ = 27081128009376. Its totient is φ = 4378787840000.

The previous prime is 11020012165571. The next prime is 11020012165619. The reversal of 11020012165600 is 656121002011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 213867840 + ... + 213919360.

It is an arithmetic number, because the mean of its divisors is an integer number (188063388954).

Almost surely, 211020012165600 is an apocalyptic number.

11020012165600 is a gapful number since it is divisible by the number (10) 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 11020012165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540564004688).

11020012165600 is an abundant number, since it is smaller than the sum of its proper divisors (16061115843776).

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

11020012165600 is a wasteful number, since it uses less digits than its factorization.

11020012165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53309 (or 53296 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 11020012165600 its reverse (656121002011), we get a palindrome (11676133167611).

The spelling of 11020012165600 in words is "eleven trillion, twenty billion, twelve million, one hundred sixty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 167 200 334 400 668 800 835 1336 1601 1670 2672 3202 3340 4175 5344 6404 6680 8005 8350 12808 13360 16010 16700 25616 26720 32020 33400 40025 51232 51521 64040 66800 80050 103042 128080 133600 160100 206084 256160 257605 267367 320200 412168 515210 534734 640400 824336 1030420 1069468 1280800 1288025 1336835 1648672 2060840 2138936 2576050 2673670 4121680 4277872 5152100 5347340 6684175 8243360 8555744 8604007 10304200 10694680 13368350 17208014 20608400 21389360 26736700 34416028 41216800 42778720 43020035 53473400 68832056 82485121 86040070 106946800 137664112 164970242 172080140 213893600 215100175 275328224 329940484 344160280 412425605 430200350 659880968 688320560 824851210 860400700 1319761936 1376641120 1649702420 1720801400 2062128025 2639523872 3299404840 3441602800 4124256050 6598809680 6883205600 8248512100 13197619360 13775015207 16497024200 27550030414 32994048400 55100060828 65988096800 68875076035 110200121656 137750152070 220400243312 275500304140 344375380175 440800486624 551000608280 688750760350 1102001216560 1377501520700 2204002433120 2755003041400 5510006082800 11020012165600