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21010122112 = 277173374093
BaseRepresentation
bin10011100100010011…
…010000010110000000
32000020020020210021211
4103210103100112000
5321012042401422
613352451455504
71342436043220
oct234423202600
960206223254
1021010122112
118a01736791
1240a42b7594
131c9aa4a125
14103450a080
1582e79b577
hex4e44d0580

21010122112 has 128 divisors (see below), whose sum is σ = 50812107840. Its totient is φ = 8447459328.

The previous prime is 21010122079. The next prime is 21010122121. The reversal of 21010122112 is 21122101012.

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

It is a super-2 number, since 2×210101221122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21010122092 and 21010122101.

It is a congruent number.

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, 5131138 + ... + 5135230.

Almost surely, 221010122112 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 21010122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25406053920).

21010122112 is an abundant number, since it is smaller than the sum of its proper divisors (29801985728).

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

21010122112 is a wasteful number, since it uses less digits than its factorization.

21010122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21010122112 its reverse (21122101012), we get a palindrome (42132223124).

It can be divided in two parts, 2101012 and 2112, that multiplied together give a palindrome (4437337344).

The spelling of 21010122112 in words is "twenty-one billion, ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 337 448 476 544 674 896 952 1088 1348 1904 2176 2359 2696 3808 4093 4718 5392 5729 7616 8186 9436 10784 11458 15232 16372 18872 21568 22916 28651 32744 37744 40103 43136 45832 57302 65488 69581 75488 80206 91664 114604 130976 139162 150976 160412 183328 229208 261952 278324 301952 320824 366656 458416 487067 523904 556648 641648 733312 916832 974134 1113296 1283296 1379341 1833664 1948268 2226592 2566592 2758682 3667328 3896536 4453184 5133184 5517364 7793072 8906368 9655387 11034728 15586144 19310774 22069456 23448797 31172288 38621548 44138912 46897594 62344576 77243096 88277824 93795188 154486192 164141579 176555648 187590376 308972384 328283158 375180752 617944768 656566316 750361504 1235889536 1313132632 1500723008 2626265264 3001446016 5252530528 10505061056 21010122112