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2101332112 = 241129411703
BaseRepresentation
bin111110100111111…
…1100100010010000
312102110000201202021
41331033330202100
513300420111422
6544302501224
7103034012455
oct17517744220
95373021667
102101332112
11989168a10
124a7894814
132764662a9
1415d11582c
15c472bdc7
hex7d3fc890

2101332112 has 40 divisors (see below), whose sum is σ = 4594616640. Its totient is φ = 922212480.

The previous prime is 2101332053. The next prime is 2101332119. The reversal of 2101332112 is 2112331012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2101332119) 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 7 ways as a sum of consecutive naturals, for example, 200748 + ... + 210955.

It is an arithmetic number, because the mean of its divisors is an integer number (114865416).

Almost surely, 22101332112 is an apocalyptic number.

2101332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2101332112 is an abundant number, since it is smaller than the sum of its proper divisors (2493284528).

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

2101332112 is a wasteful number, since it uses less digits than its factorization.

2101332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411751 (or 411745 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2101332112 is about 45840.2891788435. The cubic root of 2101332112 is about 1280.8498815428.

Adding to 2101332112 its reverse (2112331012), we get a palindrome (4213663124).

The spelling of 2101332112 in words is "two billion, one hundred one million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 411703 823406 1646812 3293624 4528733 6587248 9057466 11939387 18114932 23878774 36229864 47757548 72459728 95515096 131333257 191030192 262666514 525333028 1050666056 2101332112