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210220202012112 = 243596015631599
BaseRepresentation
bin101111110011000110110100…
…011101110010110111010000
31000120022212002022210112200000
4233303012310131302313100
5210023221433203341422
62023033454431530000
762164623402130455
oct5763066435626720
91016285068715600
10210220202012112
1160a89983674246
121b6b2100389900
13903b8abc21296
1439ca9d7ca382c
15194849acc7cac
hexbf31b4772dd0

210220202012112 has 120 divisors (see below), whose sum is σ = 610178048188800. Its totient is φ = 70066089676800.

The previous prime is 210220202012111. The next prime is 210220202012173. The reversal of 210220202012112 is 211210202022012.

It is a happy number.

210220202012112 is a `hidden beast` number, since 2 + 10 + 220 + 20 + 201 + 211 + 2 = 666.

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 (210220202012111) 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, 34512889 + ... + 40144487.

It is an arithmetic number, because the mean of its divisors is an integer number (5084817068240).

Almost surely, 2210220202012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210220202012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305089024094400).

210220202012112 is an abundant number, since it is smaller than the sum of its proper divisors (399957846176688).

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

210220202012112 is an equidigital number, since it uses as much as digits as its factorization.

210220202012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641223 (or 5641205 counting only the distinct ones).

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

Adding to 210220202012112 its reverse (211210202022012), we get a palindrome (421430404034124).

The spelling of 210220202012112 in words is "two hundred ten trillion, two hundred twenty billion, two hundred two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 9601 19202 28803 38404 57606 76808 86409 115212 153616 172818 230424 259227 345636 460848 518454 691272 777681 1036908 1382544 1555362 2073816 2333043 3110724 4147632 4666086 5631599 6221448 9332172 11263198 12442896 16894797 18664344 22526396 33789594 37328688 45052792 50684391 67579188 90105584 101368782 135158376 152053173 202737564 270316752 304106346 405475128 456159519 608212692 810950256 912319038 1216425384 1368478557 1824638076 2432850768 2736957114 3649276152 5473914228 7298552304 10947828456 21895656912 54068981999 108137963998 162206945997 216275927996 324413891994 432551855992 486620837991 648827783988 865103711984 973241675982 1297655567976 1459862513973 1946483351964 2595311135952 2919725027946 3892966703928 4379587541919 5839450055892 7785933407856 8759175083838 11678900111784 13138762625757 17518350167676 23357800223568 26277525251514 35036700335352 52555050503028 70073400670704 105110101006056 210220202012112