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100222021210112 = 212499208123563
BaseRepresentation
bin10110110010011011000001…
…111110010001000000000000
3111010212010112222101121001122
4112302123001332101000000
5101114014144412210422
6553053205543451412
730052542054244064
oct2662330176210000
9433763488347048
10100222021210112
1129a2aa1421047a
12b2a7848156b68
1343bcb85802259
141aa6ab37d5aa4
15b8c011161d42
hex5b26c1f91000

100222021210112 has 104 divisors (see below), whose sum is σ = 200926245684000. Its totient is φ = 49984434339840.

The previous prime is 100222021210097. The next prime is 100222021210163. The reversal of 100222021210112 is 211012120222001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4253352443 + ... + 4253376005.

Almost surely, 2100222021210112 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 100222021210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100463122842000).

100222021210112 is an abundant number, since it is smaller than the sum of its proper divisors (100704224473888).

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

100222021210112 is an equidigital number, since it uses as much as digits as its factorization.

100222021210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26167 (or 26145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100222021210112 its reverse (211012120222001), we get a palindrome (311234141432113).

The spelling of 100222021210112 in words is "one hundred trillion, two hundred twenty-two billion, twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 499 512 998 1024 1996 2048 2081 3992 4096 4162 7984 8324 15968 16648 23563 31936 33296 47126 63872 66592 94252 127744 133184 188504 255488 266368 377008 510976 532736 754016 1021952 1038419 1065472 1508032 2043904 2076838 2130944 3016064 4153676 4261888 6032128 8307352 8523776 11757937 12064256 16614704 23515874 24128512 33229408 47031748 48257024 49034603 66458816 94063496 96514048 98069206 132917632 188126992 196138412 265835264 376253984 392276824 531670528 752507968 784553648 1063341056 1505015936 1569107296 2126682112 3010031872 3138214592 4253364224 6020063744 6276429184 12040127488 12552858368 24080254976 24468266897 25105716736 48160509952 48936533794 50211433472 97873067588 100422866944 195746135176 200845733888 391492270352 782984540704 1565969081408 3131938162816 6263876325632 12527752651264 25055505302528 50111010605056 100222021210112