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101020212 = 223237149509
BaseRepresentation
bin1100000010101…
…11001000110100
321001002100200100
412001113020310
5201330121322
614005114100
72334441366
oct601271064
9231070610
10101020212
1152028a87
12299b8930
1317c0cc97
14d5b8d36
158d06dac
hex6057234

101020212 has 72 divisors (see below), whose sum is σ = 264537000. Its totient is φ = 32479488.

The previous prime is 101020189. The next prime is 101020217. The reversal of 101020212 is 212020101.

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 71470116 = 5436^2 + 8454^2 .

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 = 101020194 and 101020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198214 + ... + 198722.

It is an arithmetic number, because the mean of its divisors is an integer number (3674125).

Almost surely, 2101020212 is an apocalyptic number.

101020212 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 101020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132268500).

101020212 is an abundant number, since it is smaller than the sum of its proper divisors (163516788).

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

101020212 is a wasteful number, since it uses less digits than its factorization.

101020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101020212 is about 10050.8811554013. The cubic root of 101020212 is about 465.7320138820.

Adding to 101020212 its reverse (212020101), we get a palindrome (313040313).

The spelling of 101020212 in words is "one hundred one million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 149 222 298 333 444 447 509 596 666 894 1018 1332 1341 1527 1788 2036 2682 3054 4581 5364 5513 6108 9162 11026 16539 18324 18833 22052 33078 37666 49617 56499 66156 75332 75841 99234 112998 151682 169497 198468 225996 227523 303364 338994 455046 677988 682569 910092 1365138 2730276 2806117 5612234 8418351 11224468 16836702 25255053 33673404 50510106 101020212