Search a number
-
+
10222100101212 = 2232349773625213
BaseRepresentation
bin1001010011000000010010…
…1001010011100001011100
31100012020000201202101211220
42110300010221103201130
52314434330111214322
633423545025013340
72103344112143256
oct224600451234134
940166021671756
1010222100101212
11329119402137a
121191140784250
13591c2ac7725c
14274a763aacd6
1512ad786ba55c
hex94c04a5385c

10222100101212 has 24 divisors (see below), whose sum is σ = 23851674988176. Its totient is φ = 3407351259648.

The previous prime is 10222100101207. The next prime is 10222100101217. The reversal of 10222100101212 is 21210100122201.

It is an interprime number because it is at equal distance from previous prime (10222100101207) and next prime (10222100101217).

It is a junction number, because it is equal to n+sod(n) for n = 10222100101191 and 10222100101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222100101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007118 + ... + 4632330.

It is an arithmetic number, because the mean of its divisors is an integer number (993819791174).

Almost surely, 210222100101212 is an apocalyptic number.

10222100101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222100101212 is an abundant number, since it is smaller than the sum of its proper divisors (13629574886964).

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

10222100101212 is a wasteful number, since it uses less digits than its factorization.

10222100101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860197 (or 3860195 counting only the distinct ones).

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

Adding to 10222100101212 its reverse (21210100122201), we get a palindrome (31432200223413).

The spelling of 10222100101212 in words is "ten trillion, two hundred twenty-two billion, one hundred million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 234977 469954 704931 939908 1409862 2819724 3625213 7250426 10875639 14500852 21751278 43502556 851841675101 1703683350202 2555525025303 3407366700404 5111050050606 10222100101212