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21210111110112 = 2532939471930219
BaseRepresentation
bin1001101001010010111010…
…01000110110101111100000
32210002200000010000020011220
410310221131020312233200
510240001301421010422
6113035442430535040
74316244216524031
oct464513510665740
983080003006156
1021210111110112
116838180858881
1224667b3367480
13bab1495bc622
1453480958ca88
1526bacc57ae5c
hex134a5d236be0

21210111110112 has 96 divisors (see below), whose sum is σ = 57611044713600. Its totient is φ = 6824509644288.

The previous prime is 21210111110059. The next prime is 21210111110191. The reversal of 21210111110112 is 21101111101212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21210111110091 and 21210111110100.

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, 10023339 + ... + 11953557.

It is an arithmetic number, because the mean of its divisors is an integer number (600115049100).

Almost surely, 221210111110112 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 21210111110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28805522356800).

21210111110112 is an abundant number, since it is smaller than the sum of its proper divisors (36400933603488).

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

21210111110112 is a wasteful number, since it uses less digits than its factorization.

21210111110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934208 (or 1934200 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 21210111110112 its reverse (21101111101212), we get a palindrome (42311222211324).

The spelling of 21210111110112 in words is "twenty-one trillion, two hundred ten billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 3947 7894 11841 15788 23682 31576 47364 63152 94728 114463 126304 189456 228926 343389 378912 457852 686778 915704 1373556 1831408 1930219 2747112 3662816 3860438 5494224 5790657 7720876 10988448 11581314 15441752 23162628 30883504 46325256 55976351 61767008 92650512 111952702 167929053 185301024 223905404 335858106 447810808 671716212 895621616 1343432424 1791243232 2686864848 5373729696 7618574393 15237148786 22855723179 30474297572 45711446358 60948595144 91422892716 121897190288 182845785432 220938657397 243794380576 365691570864 441877314794 662815972191 731383141728 883754629588 1325631944382 1767509259176 2651263888764 3535018518352 5302527777528 7070037036704 10605055555056 21210111110112