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212111011101222 = 232239311158537651
BaseRepresentation
bin110000001110100111110001…
…011110000011101000100110
31000211000121121001200101212100
4300032213301132003220212
5210300211322320214342
62031042241524432530
762451341406165462
oct6016476136035046
91024017531611770
10212111011101222
1161648858053602
121b958650548746
139147ca07a16bc
143a54328bc34a2
15197c762c2ce4c
hexc0e9f1783a26

212111011101222 has 48 divisors (see below), whose sum is σ = 462980675888640. Its totient is φ = 70181446902000.

The previous prime is 212111011101181. The next prime is 212111011101247. The reversal of 212111011101222 is 222101110111212.

It is a happy number.

212111011101222 is a `hidden beast` number, since 21 + 211 + 101 + 110 + 1 + 222 = 666.

It is a super-2 number, since 2×2121110111012222 (a number of 29 digits) contains 22 as substring.

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 = 212111011101195 and 212111011101204.

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 23 ways as a sum of consecutive naturals, for example, 77930904 + ... + 80606747.

It is an arithmetic number, because the mean of its divisors is an integer number (9645430747680).

Almost surely, 2212111011101222 is an apocalyptic number.

212111011101222 is an abundant number, since it is smaller than the sum of its proper divisors (250869664787418).

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

212111011101222 is a wasteful number, since it uses less digits than its factorization.

212111011101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158538209 (or 158538206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212111011101222 its reverse (222101110111212), we get a palindrome (434212121212434).

The spelling of 212111011101222 in words is "two hundred twelve trillion, one hundred eleven billion, eleven million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 239 311 478 622 717 933 1434 1866 2151 2799 4302 5598 74329 148658 222987 445974 668961 1337922 158537651 317075302 475612953 951225906 1426838859 2853677718 37890498589 49305209461 75780997178 98610418922 113671495767 147915628383 227342991534 295831256766 341014487301 443746885149 682028974602 887493770298 11783945061179 23567890122358 35351835183537 70703670367074 106055505550611 212111011101222