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10022210012112 = 2434723099192323
BaseRepresentation
bin1001000111010111101001…
…0001001000001111010000
31022111010002001021202202120
42101311322101020033100
52303200441230341422
633152050102414240
72053036464340224
oct221657221101720
938433061252676
1010022210012112
113214439300931
12115a455a31380
1357912365ba1c
14269112b3a784
15125a79c0745c
hex91d7a4483d0

10022210012112 has 80 divisors (see below), whose sum is σ = 26442857548800. Its totient is φ = 3269498617216.

The previous prime is 10022210012099. The next prime is 10022210012137. The reversal of 10022210012112 is 21121001222001.

It is a junction number, because it is equal to n+sod(n) for n = 10022210012091 and 10022210012100.

It is a congruent number.

It is an unprimeable number.

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, 52015183 + ... + 52207505.

It is an arithmetic number, because the mean of its divisors is an integer number (330535719360).

Almost surely, 210022210012112 is an apocalyptic number.

10022210012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022210012112 is an abundant number, since it is smaller than the sum of its proper divisors (16420647536688).

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

10022210012112 is a wasteful number, since it uses less digits than its factorization.

10022210012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215480 (or 215474 counting only the distinct ones).

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

Adding to 10022210012112 its reverse (21121001222001), we get a palindrome (31143211234113).

The spelling of 10022210012112 in words is "ten trillion, twenty-two billion, two hundred ten million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 23099 46198 69297 92396 138594 184792 192323 277188 369584 384646 554376 576969 769292 1085653 1108752 1153938 1538584 2171306 2307876 3077168 3256959 4342612 4615752 6513918 8685224 9039181 9231504 13027836 17370448 18078362 26055672 27117543 36156724 52111344 54235086 72313448 108470172 144626896 216940344 433880688 4442468977 8884937954 13327406931 17769875908 26654813862 35539751816 53309627724 71079503632 106619255448 208796041919 213238510896 417592083838 626388125757 835184167676 1252776251514 1670368335352 2505552503028 3340736670704 5011105006056 10022210012112