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2221001012112 = 243479216144701
BaseRepresentation
bin100000010100011101111…
…110011111001110010000
321212022210101020111011220
4200110131332133032100
5242342102224341422
64420151435405040
7316314322053441
oct40243576371620
97768711214156
102221001012112
11786a15196243
122ba5408b3780
13131593760c1c
14796d5b892c8
153cb8eeede5c
hex2051df9f390

2221001012112 has 80 divisors (see below), whose sum is σ = 5752353492480. Its totient is φ = 738429696000.

The previous prime is 2221001012081. The next prime is 2221001012119. The reversal of 2221001012112 is 2112101001222.

2221001012112 is digitally balanced in base 2, 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 = 2221001012091 and 2221001012100.

It is not an unprimeable number, because it can be changed into a prime (2221001012119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49663362 + ... + 49708062.

It is an arithmetic number, because the mean of its divisors is an integer number (71904418656).

Almost surely, 22221001012112 is an apocalyptic number.

It is an amenable number.

2221001012112 is an abundant number, since it is smaller than the sum of its proper divisors (3531352480368).

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

2221001012112 is a wasteful number, since it uses less digits than its factorization.

2221001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47352 (or 47346 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2221001012112 its reverse (2112101001222), we get a palindrome (4333102013334).

The spelling of 2221001012112 in words is "two trillion, two hundred twenty-one billion, one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 958 1437 1916 2161 2874 3832 4322 5748 6483 7664 8644 11496 12966 17288 22992 25932 34576 44701 51864 89402 103728 134103 178804 268206 357608 536412 715216 1035119 1072824 2070238 2145648 3105357 4140476 6210714 8280952 12421428 16561904 21411779 24842856 42823558 49685712 64235337 85647116 96598861 128470674 171294232 193197722 256941348 289796583 342588464 386395444 513882696 579593166 772790888 1027765392 1159186332 1545581776 2318372664 4636745328 46270854419 92541708838 138812563257 185083417676 277625126514 370166835352 555250253028 740333670704 1110500506056 2221001012112