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2220101213112 = 2336761500231
BaseRepresentation
bin100000010011101000010…
…110000001101110111000
321212020110200002222000000
4200103220112001232320
5242333231402304422
64415522253513000
7316253114642646
oct40235026015670
97766420088000
102220101213112
117865a3290a02
122ba32b4a2760
1313147c207b93
147964c482196
153cb3b011cac
hex204e8581bb8

2220101213112 has 112 divisors (see below), whose sum is σ = 6249393373680. Its totient is φ = 739059811200.

The previous prime is 2220101213107. The next prime is 2220101213159. The reversal of 2220101213112 is 2113121010222.

2220101213112 is a `hidden beast` number, since 2 + 220 + 10 + 121 + 311 + 2 = 666.

It is a super-2 number, since 2×22201012131122 (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4188037 + ... + 4688267.

Almost surely, 22220101213112 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 2220101213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124696686840).

2220101213112 is an abundant number, since it is smaller than the sum of its proper divisors (4029292160568).

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

2220101213112 is an equidigital number, since it uses as much as digits as its factorization.

2220101213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501016 (or 500997 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2220101213112 its reverse (2113121010222), we get a palindrome (4333222223334).

The spelling of 2220101213112 in words is "two trillion, two hundred twenty billion, one hundred one million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 761 972 1458 1522 1944 2283 2916 3044 4566 5832 6088 6849 9132 13698 18264 20547 27396 41094 54792 61641 82188 123282 164376 184923 246564 369846 493128 500231 554769 739692 1000462 1109538 1479384 1500693 2000924 2219076 3001386 4001848 4438152 4502079 6002772 9004158 12005544 13506237 18008316 27012474 36016632 40518711 54024948 81037422 108049896 121556133 162074844 243112266 324149688 364668399 380675791 486224532 729336798 761351582 972449064 1142027373 1458673596 1522703164 2284054746 2917347192 3045406328 3426082119 4568109492 6852164238 9136218984 10278246357 13704328476 20556492714 27408656952 30834739071 41112985428 61669478142 82225970856 92504217213 123338956284 185008434426 246677912568 277512651639 370016868852 555025303278 740033737704 1110050606556 2220101213112