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10221011212212 = 22323719938559959
BaseRepresentation
bin1001010010111100001110…
…1111100001011110110100
31100012010012211211002221200
42110233003233201132310
52314430112332242322
633423245010212500
72103305120554623
oct224570357413664
940163184732850
1010221011212212
113290785405a09
121190a97b84130
13591ab64b6a38
142749b19216ba
1512ad12ccb8ac
hex94bc3be17b4

10221011212212 has 72 divisors (see below), whose sum is σ = 26668068336000. Its totient is φ = 3298264567488.

The previous prime is 10221011212199. The next prime is 10221011212213. The reversal of 10221011212212 is 21221211012201.

10221011212212 is a `hidden beast` number, since 10 + 221 + 0 + 11 + 212 + 212 = 666.

It is a super-3 number, since 3×102210112122123 (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221011212213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19014912 + ... + 19545047.

It is an arithmetic number, because the mean of its divisors is an integer number (370389838000).

Almost surely, 210221011212212 is an apocalyptic number.

10221011212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221011212212 is an abundant number, since it is smaller than the sum of its proper divisors (16447057123788).

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

10221011212212 is a wasteful number, since it uses less digits than its factorization.

10221011212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38560205 (or 38560200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221011212212 its reverse (21221211012201), we get a palindrome (31442222224413).

The spelling of 10221011212212 in words is "ten trillion, two hundred twenty-one billion, eleven million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 199 222 333 398 444 597 666 796 1194 1332 1791 2388 3582 7164 7363 14726 22089 29452 44178 66267 88356 132534 265068 38559959 77119918 115679877 154239836 231359754 347039631 462719508 694079262 1388158524 1426718483 2853436966 4280155449 5706873932 7673431841 8560310898 12840466347 15346863682 17120621796 23020295523 25680932694 30693727364 46040591046 51361865388 69060886569 92081182092 138121773138 276243546276 283916978117 567833956234 851750934351 1135667912468 1703501868702 2555252803053 3407003737404 5110505606106 10221011212212