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21201112102200 = 23352107330235391
BaseRepresentation
bin1001101001000010001001…
…10000010111010100111000
32210001210202221210021001120
410310201010300113110320
510234324334144232300
6113031353442545240
74315505215314252
oct464410460272470
983053687707046
1021201112102200
116834383084a58
122464b01668220
13baa3440c8a84
145341d4354cd2
1526b7524e83a0
hex134844c17538

21201112102200 has 96 divisors (see below), whose sum is σ = 66337685544960. Its totient is φ = 5600792214400.

The previous prime is 21201112102187. The next prime is 21201112102301. The reversal of 21201112102200 is 220121110212.

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 21201112102200.

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, 165053496 + ... + 165181895.

It is an arithmetic number, because the mean of its divisors is an integer number (691017557760).

Almost surely, 221201112102200 is an apocalyptic number.

21201112102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201112102200 is an abundant number, since it is smaller than the sum of its proper divisors (45136573442760).

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

21201112102200 is a wasteful number, since it uses less digits than its factorization.

21201112102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330235517 (or 330235508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21201112102200 its reverse (220121110212), we get a palindrome (21421233212412).

The spelling of 21201112102200 in words is "twenty-one trillion, two hundred one billion, one hundred twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 107 120 150 200 214 300 321 428 535 600 642 856 1070 1284 1605 2140 2568 2675 3210 4280 5350 6420 8025 10700 12840 16050 21400 32100 64200 330235391 660470782 990706173 1320941564 1651176955 1981412346 2641883128 3302353910 3962824692 4953530865 6604707820 7925649384 8255884775 9907061730 13209415640 16511769550 19814123460 24767654325 33023539100 35335186837 39628246920 49535308650 66047078200 70670373674 99070617300 106005560511 141340747348 176675934185 198141234600 212011121022 282681494696 353351868370 424022242044 530027802555 706703736740 848044484088 883379670925 1060055605110 1413407473480 1766759341850 2120111210220 2650139012775 3533518683700 4240222420440 5300278025550 7067037367400 10600556051100 21201112102200