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220212010220112 = 24323656341825071
BaseRepresentation
bin110010000100100000011010…
…101001001111101001010000
31001212201001200121201122102200
4302010200122221033221100
5212330423144104020422
62100204000110243200
764245535620434421
oct6204403251175120
91055631617648380
10220212010220112
1164191430943729
12208466907b6500
1395b4b98b943b1
143c54465081648
151a6d3469882ac
hexc8481aa4fa50

220212010220112 has 60 divisors (see below), whose sum is σ = 616304648841024. Its totient is φ = 73401994048320.

The previous prime is 220212010220107. The next prime is 220212010220131. The reversal of 220212010220112 is 211022010212022.

It is a happy number.

220212010220112 is a `hidden beast` number, since 2 + 202 + 120 + 10 + 220 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15647464 + ... + 26177607.

Almost surely, 2220212010220112 is an apocalyptic number.

It is an amenable number.

220212010220112 is an abundant number, since it is smaller than the sum of its proper divisors (396092638620912).

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

220212010220112 is a wasteful number, since it uses less digits than its factorization.

220212010220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41861648 (or 41861639 counting only the distinct ones).

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

Adding to 220212010220112 its reverse (211022010212022), we get a palindrome (431234020432134).

The spelling of 220212010220112 in words is "two hundred twenty trillion, two hundred twelve billion, ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 36563 73126 109689 146252 219378 292504 329067 438756 585008 658134 877512 1316268 1755024 2632536 5265072 41825071 83650142 125475213 167300284 250950426 334600568 376425639 501900852 669201136 752851278 1003801704 1505702556 2007603408 3011405112 6022810224 1529250070973 3058500141946 4587750212919 6117000283892 9175500425838 12234000567784 13763250638757 18351000851676 24468001135568 27526501277514 36702001703352 55053002555028 73404003406704 110106005110056 220212010220112