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31122212220 = 223251115718289
BaseRepresentation
bin11100111111000001…
…110100010101111100
32222022221221012010200
4130333001310111330
51002214241242340
622144121003500
72151144303411
oct347701642574
988287835120
1031122212220
111222074a750
126046923590
132c1ca220b8
1417134ca108
15c223eb330
hex73f07457c

31122212220 has 72 divisors (see below), whose sum is σ = 102986236080. Its totient is φ = 7544778240.

The previous prime is 31122212213. The next prime is 31122212221. The reversal of 31122212220 is 2221222113.

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 = 31122212193 and 31122212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122212221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7857165 + ... + 7861124.

It is an arithmetic number, because the mean of its divisors is an integer number (1430364390).

Almost surely, 231122212220 is an apocalyptic number.

31122212220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31122212220 is an abundant number, since it is smaller than the sum of its proper divisors (71864023860).

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

31122212220 is a wasteful number, since it uses less digits than its factorization.

31122212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15718315 (or 15718310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31122212220 its reverse (2221222113), we get a palindrome (33343434333).

It can be divided in two parts, 31122 and 212220, that added together give a palindrome (243342).

The spelling of 31122212220 in words is "thirty-one billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 15718289 31436578 47154867 62873156 78591445 94309734 141464601 157182890 172901179 188619468 235774335 282929202 314365780 345802358 471548670 518703537 565858404 691604716 707323005 864505895 943097340 1037407074 1414646010 1556110611 1729011790 2074814148 2593517685 2829292020 3112221222 3458023580 5187035370 6224442444 7780553055 10374070740 15561106110 31122212220