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20312120220 = 2235783582677
BaseRepresentation
bin10010111010101100…
…100101101110011100
31221102120211121200220
4102322230211232130
5313044400321340
613155315121340
71316232113250
oct227254455634
957376747626
1020312120220
118683731617
123b2a5a3250
131bb925a362
14da9932260
157dd370ed0
hex4bab25b9c

20312120220 has 96 divisors (see below), whose sum is σ = 65782015488. Its totient is φ = 4586825472.

The previous prime is 20312120219. The next prime is 20312120233. The reversal of 20312120220 is 2202121302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20312120220.

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 31 ways as a sum of consecutive naturals, for example, 256479 + ... + 326198.

It is an arithmetic number, because the mean of its divisors is an integer number (685229328).

Almost surely, 220312120220 is an apocalyptic number.

20312120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312120220 is an abundant number, since it is smaller than the sum of its proper divisors (45469895268).

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

20312120220 is a wasteful number, since it uses less digits than its factorization.

20312120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582779 (or 582777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20312120220 its reverse (2202121302), we get a palindrome (22514241522).

The spelling of 20312120220 in words is "twenty billion, three hundred twelve million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 582677 1165354 1748031 2330708 2913385 3496062 4078739 5826770 6992124 8157478 8740155 11653540 12236217 16314956 17480310 20393695 24472434 34960620 40787390 48362191 48944868 61181085 81574780 96724382 122362170 145086573 193448764 241810955 244724340 290173146 338535337 483621910 580346292 677070674 725432865 967243820 1015606011 1354141348 1450865730 1692676685 2031212022 2901731460 3385353370 4062424044 5078030055 6770706740 10156060110 20312120220