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1012162112 = 26138913669
BaseRepresentation
bin111100010101000…
…101111001000000
32121112120011101122
4330111011321000
54033103141422
6244234051412
734040143643
oct7425057100
92545504348
101012162112
1147a380415
12242b79b68
13131907bc0
14985d5a5a
155dcd4d42
hex3c545e40

1012162112 has 56 divisors (see below), whose sum is σ = 2187473400. Its totient is φ = 461869056.

The previous prime is 1012162111. The next prime is 1012162157. The reversal of 1012162112 is 2112612101.

It can be written as a sum of positive squares in 4 ways, for example, as 27206656 + 984955456 = 5216^2 + 31384^2 .

It is not an unprimeable number, because it can be changed into a prime (1012162111) 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 7 ways as a sum of consecutive naturals, for example, 67214 + ... + 80882.

It is an arithmetic number, because the mean of its divisors is an integer number (39062025).

Almost surely, 21012162112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093736700).

1012162112 is an abundant number, since it is smaller than the sum of its proper divisors (1175311288).

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

1012162112 is a wasteful number, since it uses less digits than its factorization.

1012162112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13783 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1012162112 is about 31814.4953126715. The cubic root of 1012162112 is about 1004.0377122705.

Adding to 1012162112 its reverse (2112612101), we get a palindrome (3124774213).

The spelling of 1012162112 in words is "one billion, twelve million, one hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 178 208 356 416 712 832 1157 1424 2314 2848 4628 5696 9256 13669 18512 27338 37024 54676 74048 109352 177697 218704 355394 437408 710788 874816 1216541 1421576 2433082 2843152 4866164 5686304 9732328 11372608 15815033 19464656 31630066 38929312 63260132 77858624 126520264 253040528 506081056 1012162112