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220312213022 = 21116935915057
BaseRepresentation
bin1100110100101110100…
…0011001011000011110
3210001122221022000111102
43031023220121120132
512102144411304042
6245113211153102
721626353624646
oct3151350313036
9701587260442
10220312213022
1185485556510
1236846145792
1317a105ac835
14a93da39526
155ae6812b32
hex334ba1961e

220312213022 has 16 divisors (see below), whose sum is σ = 360723897072. Its totient is φ = 100082747520.

The previous prime is 220312213013. The next prime is 220312213039.

It is a happy number.

220312213022 is nontrivially palindromic in base 10.

220312213022 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2203122130224 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 220312212985 and 220312213003.

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 7 ways as a sum of consecutive naturals, for example, 2920283 + ... + 2994774.

It is an arithmetic number, because the mean of its divisors is an integer number (22545243567).

Almost surely, 2220312213022 is an apocalyptic number.

220312213022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220312213022 is a deficient number, since it is larger than the sum of its proper divisors (140411684050).

220312213022 is a wasteful number, since it uses less digits than its factorization.

220312213022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916763.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 220312 and 213022, that added together give a palindrome (433334).

The spelling of 220312213022 in words is "two hundred twenty billion, three hundred twelve million, two hundred thirteen thousand, twenty-two".

Divisors: 1 2 11 22 1693 3386 18623 37246 5915057 11830114 65065627 130131254 10014191501 20028383002 110156106511 220312213022