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21010011002112 = 2831110124623569
BaseRepresentation
bin1001100011011110001100…
…01111100001010100000000
32202101112111210100112022210
410301233012033201110000
510223212000304031422
6112403511003102120
74265631441624666
oct461570617412400
982345453315283
1021010011002112
116770328531aa0
122433a6a211940
13b9530a61c762
14528c6608cc36
152667ba43010c
hex131bc63e1500

21010011002112 has 144 divisors (see below), whose sum is σ = 61604626345920. Its totient is φ = 6303633408000.

The previous prime is 21010011002063. The next prime is 21010011002137. The reversal of 21010011002112 is 21120011001012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11458537 + ... + 13165032.

It is an arithmetic number, because the mean of its divisors is an integer number (427809905180).

Almost surely, 221010011002112 is an apocalyptic number.

21010011002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21010011002112 is an abundant number, since it is smaller than the sum of its proper divisors (40594615343808).

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

21010011002112 is a wasteful number, since it uses less digits than its factorization.

21010011002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24623700 (or 24623686 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21010011002112 its reverse (21120011001012), we get a palindrome (42130022003124).

The spelling of 21010011002112 in words is "twenty-one trillion, ten billion, eleven million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 256 264 303 352 384 404 528 606 704 768 808 1056 1111 1212 1408 1616 2112 2222 2424 2816 3232 3333 4224 4444 4848 6464 6666 8448 8888 9696 12928 13332 17776 19392 25856 26664 35552 38784 53328 71104 77568 106656 142208 213312 284416 426624 853248 24623569 49247138 73870707 98494276 147741414 196988552 270859259 295482828 393977104 541718518 590965656 787954208 812577777 1083437036 1181931312 1575908416 1625155554 2166874072 2363862624 2486980469 3151816832 3250311108 4333748144 4727725248 4973960938 6303633664 6500622216 7460941407 8667496288 9455450496 9947921876 13001244432 14921882814 17334992576 18910900992 19895843752 26002488864 27356785159 29843765628 34669985152 39791687504 52004977728 54713570318 59687531256 69339970304 79583375008 82070355477 104009955456 109427140636 119375062512 159166750016 164140710954 208019910912 218854281272 238750125024 318333500032 328281421908 437708562544 477500250048 636667000064 656562843816 875417125088 955000500096 1313125687632 1750834250176 1910001000192 2626251375264 3501668500352 5252502750528 7003337000704 10505005501056 21010011002112