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2213102112 = 253131773319
BaseRepresentation
bin1000001111101001…
…0100001000100000
312201020100020100220
42003322110020200
514013023231422
61003334243040
7105562025514
oct20372241040
95636306326
102213102112
11a36269411
125191b6480
1329366b1a0
1416dccc144
15ce458e5c
hex83e94220

2213102112 has 48 divisors (see below), whose sum is σ = 6256272960. Its totient is φ = 680954112.

The previous prime is 2213102093. The next prime is 2213102119. The reversal of 2213102112 is 2112013122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2213102091 and 2213102100.

It is not an unprimeable number, because it can be changed into a prime (2213102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885412 + ... + 887907.

It is an arithmetic number, because the mean of its divisors is an integer number (130339020).

Almost surely, 22213102112 is an apocalyptic number.

It is an amenable number.

2213102112 is an abundant number, since it is smaller than the sum of its proper divisors (4043170848).

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

2213102112 is a wasteful number, since it uses less digits than its factorization.

2213102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773345 (or 1773337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2213102112 is about 47043.6192485230. The cubic root of 2213102112 is about 1303.1682314017.

Adding to 2213102112 its reverse (2112013122), we get a palindrome (4325115234).

The spelling of 2213102112 in words is "two billion, two hundred thirteen million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1773319 3546638 5319957 7093276 10639914 14186552 21279828 23053147 28373104 42559656 46106294 56746208 69159441 85119312 92212588 138318882 170238624 184425176 276637764 368850352 553275528 737700704 1106551056 2213102112