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21000112210112 = 267611307587947
BaseRepresentation
bin1001100011001011110000…
…01110101000000011000000
32202100120221221000210110212
410301211320032220003000
510223031212211210422
6112355152433413252
74265131233366050
oct461457016500300
982316857023425
1021000112210112
116767108964062
122431b6710a228
13b943c08a9899
145285a7553560
152663db3b49e2
hex1319783a80c0

21000112210112 has 112 divisors (see below), whose sum is σ = 48443114704128. Its totient is φ = 8845718123520.

The previous prime is 21000112210111. The next prime is 21000112210117. The reversal of 21000112210112 is 21101221100012.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (21000112210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35423723 + ... + 36011669.

Almost surely, 221000112210112 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 21000112210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24221557352064).

21000112210112 is an abundant number, since it is smaller than the sum of its proper divisors (27443002494016).

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

21000112210112 is a wasteful number, since it uses less digits than its factorization.

21000112210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589334 (or 589324 counting only the distinct ones).

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

Adding to 21000112210112 its reverse (21101221100012), we get a palindrome (42101333310124).

The spelling of 21000112210112 in words is "twenty-one trillion, one hundred twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1307 1708 1952 2614 3416 3904 5228 6832 9149 10456 13664 18298 20912 27328 36596 41824 73192 79727 83648 146384 159454 292768 318908 558089 585536 587947 637816 1116178 1175894 1275632 2232356 2351788 2551264 4115629 4464712 4703576 5102528 8231258 8929424 9407152 16462516 17858848 18814304 32925032 35717696 35864767 37628608 65850064 71729534 131700128 143459068 251053369 263400256 286918136 502106738 573836272 768446729 1004213476 1147672544 1536893458 2008426952 2295345088 3073786916 4016853904 5379127103 6147573832 8033707808 10758254206 12295147664 16067415616 21516508412 24590295328 43033016824 46875250469 49180590656 86066033648 93750500938 172132067296 187501001876 328126753283 344264134592 375002003752 656253506566 750004007504 1312507013132 1500008015008 2625014026264 3000016030016 5250028052528 10500056105056 21000112210112