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102412112 = 24115310979
BaseRepresentation
bin1100001101010…
…10111101010000
321010201002000012
412012222331100
5202204141422
614055014052
72352326405
oct606527520
9233632005
10102412112
1152899810
122a36a328
13182a96aa
14d85c2ac
158ece4e2
hex61aaf50

102412112 has 40 divisors (see below), whose sum is σ = 220566240. Its totient is φ = 45668480.

The previous prime is 102412103. The next prime is 102412139. The reversal of 102412112 is 211214201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3839 + ... + 14817.

It is an arithmetic number, because the mean of its divisors is an integer number (5514156).

Almost surely, 2102412112 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 102412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110283120).

102412112 is an abundant number, since it is smaller than the sum of its proper divisors (118154128).

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

102412112 is a wasteful number, since it uses less digits than its factorization.

102412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051 (or 11045 counting only the distinct ones).

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

The square root of 102412112 is about 10119.8869558904. The cubic root of 102412112 is about 467.8612830654.

Adding to 102412112 its reverse (211214201), we get a palindrome (313626313).

It can be divided in two parts, 102 and 412112, that added together give a palindrome (412214).

The spelling of 102412112 in words is "one hundred two million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 10979 21958 43916 87832 120769 175664 241538 483076 581887 966152 1163774 1932304 2327548 4655096 6400757 9310192 12801514 25603028 51206056 102412112