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10221201210222 = 234167769491297
BaseRepresentation
bin1001010010111100111100…
…0100010011101101101110
31100012010201002100000020000
42110233033010103231232
52314431010002211342
633423315514405130
72103312615533652
oct224571704235556
940163632300200
1010221201210222
113290872687262
121190b2b7307a6
13591b1697b5b2
142749ccc5ca62
1512ad2480c44c
hex94bcf113b6e

10221201210222 has 80 divisors (see below), whose sum is σ = 23070214268640. Its totient is φ = 3382254600192.

The previous prime is 10221201210179. The next prime is 10221201210223. The reversal of 10221201210222 is 22201210212201.

It is a happy number.

10221201210222 is a `hidden beast` number, since 1 + 0 + 221 + 201 + 21 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10221201210195 and 10221201210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221201210223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20558878 + ... + 21050174.

It is an arithmetic number, because the mean of its divisors is an integer number (288377678358).

Almost surely, 210221201210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221201210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535107134320).

10221201210222 is an abundant number, since it is smaller than the sum of its proper divisors (12849013058418).

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

10221201210222 is a wasteful number, since it uses less digits than its factorization.

10221201210222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492247 (or 492238 counting only the distinct ones).

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

Adding to 10221201210222 its reverse (22201210212201), we get a palindrome (32422411422423).

The spelling of 10221201210222 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 334 501 769 1002 1503 1538 2307 3006 4509 4614 6921 9018 13527 13842 20763 27054 41526 62289 124578 128423 256846 385269 491297 770538 982594 1155807 1473891 2311614 2947782 3467421 4421673 6934842 8843346 10402263 13265019 20804526 26530038 39795057 79590114 82046599 164093198 246139797 377807393 492279594 738419391 755614786 1133422179 1476838782 2215258173 2266844358 3400266537 4430516346 6645774519 6800533074 10200799611 13291549038 20401599222 30602398833 61204797666 63093834631 126187669262 189281503893 378563007786 567844511679 1135689023358 1703533535037 3407067070074 5110600605111 10221201210222