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110221111000212 = 223331217011278721
BaseRepresentation
bin11001000011111011011010…
…001010101111110010010100
3112110021000221201220101122020
4121003323122022233302110
5103421330313404001322
61030230513535533140
732134132611150252
oct3103733212576224
9473230851811566
10110221111000212
1132135568779303
121044170b08a1b0
134966a631cab24
141d30a31aab5d2
15cb218620d05c
hex643eda2afc94

110221111000212 has 48 divisors (see below), whose sum is σ = 257971667749824. Its totient is φ = 36627655680000.

The previous prime is 110221111000199. The next prime is 110221111000277. The reversal of 110221111000212 is 212000111122011.

It is a happy number.

110221111000212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 110221111000191 and 110221111000200.

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, 85557012 + ... + 86835732.

It is an arithmetic number, because the mean of its divisors is an integer number (5374409744788).

Almost surely, 2110221111000212 is an apocalyptic number.

110221111000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110221111000212 is an abundant number, since it is smaller than the sum of its proper divisors (147750556749612).

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

110221111000212 is a wasteful number, since it uses less digits than its factorization.

110221111000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300760 (or 1300758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110221111000212 its reverse (212000111122011), we get a palindrome (322221222122223).

The spelling of 110221111000212 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred eleven million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 331 662 993 1324 1986 3972 21701 43402 65103 86804 130206 260412 1278721 2557442 3836163 5114884 7183031 7672326 14366062 15344652 21549093 28732124 43098186 86196372 423256651 846513302 1269769953 1693026604 2539539906 5079079812 27749524421 55499048842 83248573263 110998097684 166497146526 332994293052 9185092583351 18370185166702 27555277750053 36740370333404 55110555500106 110221111000212