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10212233311212 = 2231989563893897
BaseRepresentation
bin1001010010011011100010…
…0010011111001111101100
31100011021120002122112111020
42110212320202133033230
52314304123211424322
633415234001254140
72102544442621542
oct224467042371754
940137502575436
1010212233311212
113287a90520a79
12118b248334350
13591017a5a68a
142743bbc01d92
1512a99c37205c
hex949b889f3ec

10212233311212 has 96 divisors (see below), whose sum is σ = 25409586988800. Its totient is φ = 3183013481472.

The previous prime is 10212233311199. The next prime is 10212233311223. The reversal of 10212233311212 is 21211333221201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10977448 + ... + 11871344.

It is an arithmetic number, because the mean of its divisors is an integer number (264683197800).

Almost surely, 210212233311212 is an apocalyptic number.

10212233311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212233311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704793494400).

10212233311212 is an abundant number, since it is smaller than the sum of its proper divisors (15197353677588).

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

10212233311212 is a wasteful number, since it uses less digits than its factorization.

10212233311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894575 (or 894573 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10212233311212 its reverse (21211333221201), we get a palindrome (31423566532413).

The spelling of 10212233311212 in words is "ten trillion, two hundred twelve billion, two hundred thirty-three million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 534 563 1068 1126 1689 1691 2252 3378 3382 5073 6756 6764 10146 10697 20292 21394 32091 42788 50107 64182 100214 128364 150321 200428 300642 601284 893897 952033 1787794 1904066 2681691 2856099 3575588 3808132 5363382 5712198 10726764 11424396 16984043 33968086 50952129 67936172 79556833 101904258 159113666 203808516 238670499 318227332 477340998 503264011 954681996 1006528022 1509792033 1511579827 2013056044 3019584066 3023159654 4534739481 6039168132 6046319308 9069478962 9562016209 18138957924 19124032418 28686048627 38248064836 44790496979 57372097254 89580993958 114744194508 134371490937 179161987916 268742981874 537485963748 851019442601 1702038885202 2553058327803 3404077770404 5106116655606 10212233311212