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220122121111002 = 232112101066171309
BaseRepresentation
bin110010000011001100101100…
…110101100000010111011010
31001212101110200002111210000100
4302003030230311200113122
5212322440101001023002
62100054412330520230
764236204235553055
oct6203145465402732
91055343602453010
10220122121111002
11641572a3882600
1220831184b96076
1395a9572029b36
143c4dd78baba9c
151a6ad3521311c
hexc8332cd605da

220122121111002 has 36 divisors (see below), whose sum is σ = 524230230584970. Its totient is φ = 66703673063280.

The previous prime is 220122121110989. The next prime is 220122121111073. The reversal of 220122121111002 is 200111121221022.

220122121111002 is a `hidden beast` number, since 220 + 1 + 221 + 211 + 1 + 10 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144531633781161 + 75590487329841 = 12022131^2 + 8694279^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50533083477 + ... + 50533087832.

Almost surely, 2220122121111002 is an apocalyptic number.

220122121111002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220122121111002 is an abundant number, since it is smaller than the sum of its proper divisors (304108109473968).

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

220122121111002 is a wasteful number, since it uses less digits than its factorization.

220122121111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101066171339 (or 101066171325 counting only the distinct ones).

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

Adding to 220122121111002 its reverse (200111121221022), we get a palindrome (420233242332024).

The spelling of 220122121111002 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 101066171309 202132342618 303198513927 606397027854 909595541781 1111727884399 1819191083562 2223455768798 3335183653197 6670367306394 10005550959591 12229006728389 20011101919182 24458013456778 36687020185167 73374040370334 110061060555501 220122121111002