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220200211212112 = 24413897091217077
BaseRepresentation
bin110010000100010101011011…
…010111100110011101010000
31001212122221020022210221021101
4302010111123113212131100
5212330230013032241422
62100154325220434144
764244640336506245
oct6204253327463520
91055587208727241
10220200211212112
116418742669234a
1220844339248954
1395b3a38573561
143c53a660235cc
151a6cda5bbac27
hexc8455b5e6750

220200211212112 has 80 divisors (see below), whose sum is σ = 438785585456400. Its totient is φ = 106987406561280.

The previous prime is 220200211212097. The next prime is 220200211212127. The reversal of 220200211212112 is 211212112002022.

It is an interprime number because it is at equal distance from previous prime (220200211212097) and next prime (220200211212127).

It can be written as a sum of positive squares in 8 ways, for example, as 143182667082816 + 77017544129296 = 11965896^2 + 8775964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220200211212112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180316918 + ... + 181533994.

It is an arithmetic number, because the mean of its divisors is an integer number (5484819818205).

Almost surely, 2220200211212112 is an apocalyptic number.

It is an amenable number.

220200211212112 is a deficient number, since it is larger than the sum of its proper divisors (218585374244288).

220200211212112 is a wasteful number, since it uses less digits than its factorization.

220200211212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218224 (or 1218218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220200211212112 its reverse (211212112002022), we get a palindrome (431412323214134).

The spelling of 220200211212112 in words is "two hundred twenty trillion, two hundred billion, two hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 41 82 164 328 389 656 709 778 1418 1556 2836 3112 5672 6224 11344 15949 29069 31898 58138 63796 116276 127592 232552 255184 275801 465104 551602 1103204 1217077 2206408 2434154 4412816 4868308 9736616 11307841 19473232 22615682 45231364 49900157 90462728 99800314 180925456 199600628 399201256 473442953 798402512 862907593 946885906 1725815186 1893771812 3451630372 3787543624 6903260744 7575087248 13806521488 19411161073 35379211313 38822322146 70758422626 77644644292 141516845252 155289288584 283033690504 310578577168 335671053677 566067381008 671342107354 1342684214708 2685368429416 5370736858832 13762513200757 27525026401514 55050052803028 110100105606056 220200211212112