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100222112022120 = 233251169113662077
BaseRepresentation
bin10110110010011011000111…
…011000101011111001101000
3111010212010210022021022201100
4112302123013120223321220
5101114014341134201440
6553053222550121400
730052544236161114
oct2662330730537150
9433763708238640
10100222112022120
1129a2aa604a6920
12b2a7872650260
1343bcb9b57997a
141aa6ac18b4744
15b8c0190ee230
hex5b26c762be68

100222112022120 has 192 divisors, whose sum is σ = 355384455229440. Its totient is φ = 24292747353600.

The previous prime is 100222112022089. The next prime is 100222112022127. The reversal of 100222112022120 is 21220211222001.

It is a happy number.

100222112022120 is a `hidden beast` number, since 100 + 2 + 221 + 120 + 221 + 2 + 0 = 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 = 100222112022093 and 100222112022102.

It is not an unprimeable number, because it can be changed into a prime (100222112022127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25536522 + ... + 29198598.

It is an arithmetic number, because the mean of its divisors is an integer number (1850960704320).

Almost surely, 2100222112022120 is an apocalyptic number.

100222112022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222112022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177692227614720).

100222112022120 is an abundant number, since it is smaller than the sum of its proper divisors (255162343207320).

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

100222112022120 is a wasteful number, since it uses less digits than its factorization.

100222112022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669016 (or 3669009 counting only the distinct ones).

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

Adding to 100222112022120 its reverse (21220211222001), we get a palindrome (121442323244121).

The spelling of 100222112022120 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, twenty-two thousand, one hundred twenty".