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101104212 = 223112179389
BaseRepresentation
bin1100000011010…
…11101001010100
321001020121220110
412001223221110
5201340313322
614011003020
72335241316
oct601535124
9231217813
10101104212
1152086100
1229a39470
1317c3c2a1
14d5db7b6
158d21c0c
hex606ba54

101104212 has 72 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 30388160.

The previous prime is 101104207. The next prime is 101104217. The reversal of 101104212 is 212401101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101104207) and next prime (101104217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101104217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259714 + ... + 260102.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2101104212 is an apocalyptic number.

101104212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101104212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

101104212 is an abundant number, since it is smaller than the sum of its proper divisors (160320588).

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

101104212 is a wasteful number, since it uses less digits than its factorization.

101104212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101104212 is about 10055.0590251873. The cubic root of 101104212 is about 465.8610661116.

Adding to 101104212 its reverse (212401101), we get a palindrome (313505313).

The spelling of 101104212 in words is "one hundred one million, one hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 179 242 358 363 389 484 537 716 726 778 1074 1167 1452 1556 1969 2148 2334 3938 4279 4668 5907 7876 8558 11814 12837 17116 21659 23628 25674 43318 47069 51348 64977 69631 86636 94138 129954 139262 141207 188276 208893 259908 278524 282414 417786 564828 765941 835572 1531882 2297823 3063764 4595646 8425351 9191292 16850702 25276053 33701404 50552106 101104212