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2112102664 = 237231173807
BaseRepresentation
bin111110111100100…
…0010000100001000
312110012021221011121
41331321002010020
513311144241124
6545325405024
7103224401500
oct17571020410
95405257147
102112102664
11994254aa1
124ab409774
132787677b9
1416071aa00
15c56582e4
hex7de42108

2112102664 has 48 divisors (see below), whose sum is σ = 4755386880. Its totient is φ = 875982240.

The previous prime is 2112102647. The next prime is 2112102667. The reversal of 2112102664 is 4662012112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2112102667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74752 + ... + 99055.

It is an arithmetic number, because the mean of its divisors is an integer number (99070560).

Almost surely, 22112102664 is an apocalyptic number.

It is an amenable number.

2112102664 is an abundant number, since it is smaller than the sum of its proper divisors (2643284216).

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

2112102664 is a wasteful number, since it uses less digits than its factorization.

2112102664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173858 (or 173847 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2112102664 is about 45957.6181280101. The cubic root of 2112102664 is about 1283.0345206959.

Adding to 2112102664 its reverse (4662012112), we get a palindrome (6774114776).

The spelling of 2112102664 in words is "two billion, one hundred twelve million, one hundred two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 3038 6076 12152 173807 347614 695228 1216649 1390456 2433298 4866596 5388017 8516543 9733192 10776034 17033086 21552068 34066172 37716119 43104136 68132344 75432238 150864476 264012833 301728952 528025666 1056051332 2112102664