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10121112 = 233415619
BaseRepresentation
bin100110100110…
…111110011000
3201001012120000
4212212332120
510042333422
61000533000
7152012421
oct46467630
921035500
1010121112
115793161
123481160
132134a31
1414b6648
15d4dcac
hex9a6f98

10121112 has 40 divisors (see below), whose sum is σ = 28350300. Its totient is φ = 3373488.

The previous prime is 10121107. The next prime is 10121117. The reversal of 10121112 is 21112101.

Adding to 10121112 its reverse (21112101), we get a palindrome (31233213).

It can be divided in two parts, 101 and 21112, that multiplied together give a palindrome (2132312).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10121107) and next prime (10121117).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10121094 and 10121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121117) 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 9 ways as a sum of consecutive naturals, for example, 7162 + ... + 8457.

Almost surely, 210121112 is an apocalyptic number.

10121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121112 is an abundant number, since it is smaller than the sum of its proper divisors (18229188).

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

10121112 is a wasteful number, since it uses less digits than its factorization.

10121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15637 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 10121112 is about 3181.3695164190. The cubic root of 10121112 is about 216.3097408091.

The spelling of 10121112 in words is "ten million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15619 31238 46857 62476 93714 124952 140571 187428 281142 374856 421713 562284 843426 1124568 1265139 1686852 2530278 3373704 5060556 10121112