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2102112032 = 25285722993
BaseRepresentation
bin111110101001011…
…1010111100100000
312102111111100121012
41331102322330200
513301120041112
6544331320052
7103043441336
oct17522727440
95374440535
102102112032
11989650979
124a7bb0028
1327667a297
1415d279b56
15c4833022
hex7d4baf20

2102112032 has 24 divisors (see below), whose sum is σ = 4140161676. Its totient is φ = 1050642432.

The previous prime is 2102112017. The next prime is 2102112037. The reversal of 2102112032 is 2302112012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1961072656 + 141039376 = 44284^2 + 11876^2 .

It is a super-4 number, since 4×21021120324 (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102111998 and 2102112016.

It is not an unprimeable number, because it can be changed into a prime (2102112037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79928 + ... + 102920.

Almost surely, 22102112032 is an apocalyptic number.

It is an amenable number.

2102112032 is a deficient number, since it is larger than the sum of its proper divisors (2038049644).

2102112032 is a wasteful number, since it uses less digits than its factorization.

2102112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25860 (or 25852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2102112032 is about 45848.7953167801. The cubic root of 2102112032 is about 1281.0083265707.

Adding to 2102112032 its reverse (2302112012), we get a palindrome (4404224044).

The spelling of 2102112032 in words is "two billion, one hundred two million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 2857 5714 11428 22856 22993 45712 45986 91424 91972 183944 367888 735776 65691001 131382002 262764004 525528008 1051056016 2102112032