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2212100001112 = 2319313847122033
BaseRepresentation
bin100000001100001011011…
…011110100110101011000
321211110211001102021112211
4200030023123310311120
5242220340100013422
64412120312044504
7315550620524161
oct40141333646530
97743731367484
102212100001112
11783167865a01
122b8877993734
131307a565c201
14790cd980768
153c81d877577
hex2030b6f4d58

2212100001112 has 64 divisors (see below), whose sum is σ = 4508033587200. Its totient is φ = 1013763755520.

The previous prime is 2212100001103. The next prime is 2212100001119. The reversal of 2212100001112 is 2111000012122.

It is a junction number, because it is equal to n+sod(n) for n = 2212100001092 and 2212100001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212100001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18066048 + ... + 18188080.

It is an arithmetic number, because the mean of its divisors is an integer number (70438024800).

Almost surely, 22212100001112 is an apocalyptic number.

It is an amenable number.

2212100001112 is an abundant number, since it is smaller than the sum of its proper divisors (2295933586088).

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

2212100001112 is a wasteful number, since it uses less digits than its factorization.

2212100001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125936 (or 125932 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2212100001112 its reverse (2111000012122), we get a palindrome (4323100013234).

The spelling of 2212100001112 in words is "two trillion, two hundred twelve billion, one hundred million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 589 1178 2356 3847 4712 7694 15388 30776 73093 119257 122033 146186 238514 244066 292372 477028 488132 584744 954056 976264 2265883 2318627 3783023 4531766 4637254 7566046 9063532 9274508 15132092 18127064 18549016 30264184 71877437 143754874 287509748 469460951 575019496 938921902 1877843804 3755687608 8919758069 14553289481 17839516138 29106578962 35679032276 58213157924 71358064552 116426315848 276512500139 553025000278 1106050000556 2212100001112