Search a number
-
+
10212210110112 = 253170962245283
BaseRepresentation
bin1001010010011011011100…
…1001111110111010100000
31100011021111110222210120020
42110212313021332322200
52314304101242010422
633415231412113440
72102544041461053
oct224466711767240
940137443883506
1010212210110112
113287a7941470a
12118b240605880
13591012cc620a
142743b8ac2a9a
1512a99a2dc95c
hex949b727eea0

10212210110112 has 48 divisors (see below), whose sum is σ = 26822737781280. Its totient is φ = 3402078132992.

The previous prime is 10212210110093. The next prime is 10212210110117. The reversal of 10212210110112 is 21101101221201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10212210110091 and 10212210110100.

It is not an unprimeable number, because it can be changed into a prime (10212210110117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30958578 + ... + 31286705.

It is an arithmetic number, because the mean of its divisors is an integer number (558807037110).

Almost surely, 210212210110112 is an apocalyptic number.

10212210110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212210110112 is an abundant number, since it is smaller than the sum of its proper divisors (16610527671168).

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

10212210110112 is a wasteful number, since it uses less digits than its factorization.

10212210110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62247005 (or 62246997 counting only the distinct ones).

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

Adding to 10212210110112 its reverse (21101101221201), we get a palindrome (31313311331313).

The spelling of 10212210110112 in words is "ten trillion, two hundred twelve billion, two hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1709 3418 5127 6836 10254 13672 20508 27344 41016 54688 82032 164064 62245283 124490566 186735849 248981132 373471698 497962264 746943396 995924528 1493886792 1991849056 2987773584 5975547168 106377188647 212754377294 319131565941 425508754588 638263131882 851017509176 1276526263764 1702035018352 2553052527528 3404070036704 5106105055056 10212210110112