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10221210222210 = 2325131710116730467
BaseRepresentation
bin1001010010111100111110…
…0110101011111010000010
31100012010201201021212100100
42110233033212223322002
52314431014304102320
633423320435503230
72103313055246661
oct224571746537202
940163651255310
1010221210222210
113290877782089
121190b32757b16
13591b187b5530
142749d0126dd8
1512ad254dc790
hex94bcf9abe82

10221210222210 has 384 divisors, whose sum is σ = 30787172043264. Its totient is φ = 2330429644800.

The previous prime is 10221210222199. The next prime is 10221210222241. The reversal of 10221210222210 is 1222201212201.

It is a happy number.

10221210222210 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 210 + 222 + 210 = 666.

It is a super-2 number, since 2×102212102222102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335469397 + ... + 335499863.

It is an arithmetic number, because the mean of its divisors is an integer number (80174927196).

Almost surely, 210221210222210 is an apocalyptic number.

10221210222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221210222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393586021632).

10221210222210 is an abundant number, since it is smaller than the sum of its proper divisors (20565961821054).

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

10221210222210 is a wasteful number, since it uses less digits than its factorization.

10221210222210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30778 (or 30775 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221210222210 its reverse (1222201212201), we get a palindrome (11443411434411).

The spelling of 10221210222210 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty-two thousand, two hundred ten".