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101422112 = 2511733947
BaseRepresentation
bin1100000101110…
…01010000100000
321001211202222112
412002321100200
5201431001422
614021454452
72341034201
oct602712040
9231752875
10101422112
1152282a30
1229b71428
1318020bac
14d6815a8
158d85ee2
hex60b9420

101422112 has 48 divisors (see below), whose sum is σ = 220866912. Its totient is φ = 45457920.

The previous prime is 101422109. The next prime is 101422117. The reversal of 101422112 is 211224101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23723 + ... + 27669.

It is an arithmetic number, because the mean of its divisors is an integer number (4601394).

Almost surely, 2101422112 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 101422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110433456).

101422112 is an abundant number, since it is smaller than the sum of its proper divisors (119444800).

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

101422112 is a wasteful number, since it uses less digits than its factorization.

101422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101422112 is about 10070.8545814146. The cubic root of 101422112 is about 466.3488212072.

Adding to 101422112 its reverse (211224101), we get a palindrome (312646213).

The spelling of 101422112 in words is "one hundred one million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 2336 3212 3947 6424 7894 12848 15788 25696 31576 43417 63152 86834 126304 173668 288131 347336 576262 694672 1152524 1389344 2305048 3169441 4610096 6338882 9220192 12677764 25355528 50711056 101422112