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21110110002112 = 265313788151563
BaseRepresentation
bin1001100110011000101001…
…00110111001101111000000
32202202002212212021121001011
410303030110212321233000
510231332001130031422
6112521503424050304
74306104130242145
oct463142446715700
982662785247034
1021110110002112
1167a982483627a
12244b345163994
13ba18a07b2781
1452da403203cc
152691c81c3077
hex1333149b9bc0

21110110002112 has 112 divisors (see below), whose sum is σ = 43041931504992. Its totient is φ = 10268444426240.

The previous prime is 21110110002041. The next prime is 21110110002229. The reversal of 21110110002112 is 21120001101112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21110110002092 and 21110110002101.

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, 409378443 + ... + 409430005.

It is an arithmetic number, because the mean of its divisors is an integer number (384302959866).

Almost surely, 221110110002112 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 21110110002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520965752496).

21110110002112 is an abundant number, since it is smaller than the sum of its proper divisors (21931821502880).

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

21110110002112 is a wasteful number, since it uses less digits than its factorization.

21110110002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52646 (or 52636 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21110110002112 its reverse (21120001101112), we get a palindrome (42230111103224).

The spelling of 21110110002112 in words is "twenty-one trillion, one hundred ten billion, one hundred ten million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 137 212 274 424 548 848 881 1096 1696 1762 2192 3392 3524 4384 7048 7261 8768 14096 14522 28192 29044 46693 51563 56384 58088 93386 103126 116176 120697 186772 206252 232352 241394 373544 412504 464704 482788 747088 825008 965576 1494176 1650016 1931152 2732839 2988352 3300032 3862304 5465678 6396941 7064131 7724608 10931356 12793882 14128262 21862712 25587764 28256524 43725424 45427003 51175528 56513048 87450848 90854006 102351056 113026096 174901696 181708012 204702112 226052192 363416024 374398943 409404224 452104384 726832048 748797886 1453664096 1497595772 2407631159 2907328192 2995191544 4815262318 5990383088 6223499411 9630524636 11980766176 12446998822 19261049272 23961532352 24893997644 38522098544 49787995288 77044197088 99575990576 154088394176 199151981152 329845468783 398303962304 659690937566 1319381875132 2638763750264 5277527500528 10555055001056 21110110002112