Search a number
-
+
20001110122112 = 277179111441381
BaseRepresentation
bin1001000110000110111110…
…00100000101111010000000
32121211002100202100112220112
410203003133010011322000
510110144233142401422
6110312214431530452
74133014103633330
oct443033704057200
977732322315815
1020001110122112
116411472266229
1222b0423389a28
13b21134299a22
144d20b78730c0
1524a41c56aee2
hex1230df105e80

20001110122112 has 128 divisors (see below), whose sum is σ = 48269922900480. Its totient is φ = 8058813235200.

The previous prime is 20001110121991. The next prime is 20001110122157. The reversal of 20001110122112 is 21122101110002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×200011101221122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13155662 + ... + 14597042.

It is an arithmetic number, because the mean of its divisors is an integer number (377108772660).

Almost surely, 220001110122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24134961450240).

20001110122112 is an abundant number, since it is smaller than the sum of its proper divisors (28268812778368).

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

20001110122112 is a wasteful number, since it uses less digits than its factorization.

20001110122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442330 (or 1442318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20001110122112 its reverse (21122101110002), we get a palindrome (41123211232114).

The spelling of 20001110122112 in words is "twenty trillion, one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 911 952 1088 1822 1904 2176 3644 3808 6377 7288 7616 12754 14576 15232 15487 25508 29152 30974 51016 58304 61948 102032 108409 116608 123896 204064 216818 247792 408128 433636 495584 816256 867272 991168 1441381 1734544 1982336 2882762 3469088 5765524 6938176 10089667 11531048 13876352 20179334 23062096 24503477 40358668 46124192 49006954 80717336 92248384 98013908 161434672 171524339 184496768 196027816 322869344 343048678 392055632 645738688 686097356 784111264 1291477376 1313098091 1372194712 1568222528 2626196182 2744389424 3136445056 5252392364 5488778848 9191686637 10504784728 10977557696 18383373274 21009569456 21955115392 22322667547 36766746548 42019138912 44645335094 73533493096 84038277824 89290670188 147066986192 156258672829 168076555648 178581340376 294133972384 312517345658 357162680752 588267944768 625034691316 714325361504 1176535889536 1250069382632 1428650723008 2500138765264 2857301446016 5000277530528 10000555061056 20001110122112