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2102120220 = 223537946901
BaseRepresentation
bin111110101001011…
…1100111100011100
312102111111202211110
41331102330330130
513301120321340
6544331422020
7103043504244
oct17522747434
95374452743
102102120220
11989657042
124a7bb4910
13276680c25
1415d27cb24
15c4835680
hex7d4bcf1c

2102120220 has 48 divisors (see below), whose sum is σ = 6045022368. Its totient is φ = 545414400.

The previous prime is 2102120201. The next prime is 2102120221. The reversal of 2102120220 is 220212012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2102120196 and 2102120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102120221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 471231 + ... + 475670.

It is an arithmetic number, because the mean of its divisors is an integer number (125937966).

Almost surely, 22102120220 is an apocalyptic number.

2102120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102120220 is an abundant number, since it is smaller than the sum of its proper divisors (3942902148).

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

2102120220 is a wasteful number, since it uses less digits than its factorization.

2102120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946950 (or 946948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2102120220 is about 45848.8846102062. The cubic root of 2102120220 is about 1281.0099898000.

Adding to 2102120220 its reverse (220212012), we get a palindrome (2322332232).

The spelling of 2102120220 in words is "two billion, one hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 946901 1893802 2840703 3787604 4734505 5681406 9469010 11362812 14203515 18938020 28407030 35035337 56814060 70070674 105106011 140141348 175176685 210212022 350353370 420424044 525530055 700706740 1051060110 2102120220