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101034216 = 2334236779
BaseRepresentation
bin1100000010110…
…10100011101000
321001010001220000
412001122203220
5201331043331
614005303000
72334530253
oct601324350
9231101800
10101034216
1152038558
1229a04a60
1317c1647a
14d5c009a
158d0b0e6
hex605a8e8

101034216 has 80 divisors (see below), whose sum is σ = 295336800. Its totient is φ = 32209056.

The previous prime is 101034203. The next prime is 101034217. The reversal of 101034216 is 612430101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101034217) 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 19 ways as a sum of consecutive naturals, for example, 11515 + ... + 18293.

It is an arithmetic number, because the mean of its divisors is an integer number (3691710).

Almost surely, 2101034216 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 101034216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147668400).

101034216 is an abundant number, since it is smaller than the sum of its proper divisors (194302584).

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

101034216 is a wasteful number, since it uses less digits than its factorization.

101034216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101034216 is about 10051.5777865965. The cubic root of 101034216 is about 465.7535337002.

Adding to 101034216 its reverse (612430101), we get a palindrome (713464317).

The spelling of 101034216 in words is "one hundred one million, thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 6779 7452 13558 14904 20337 27116 40674 54232 61011 81348 122022 155917 162696 183033 244044 311834 366066 467751 488088 549099 623668 732132 935502 1098198 1247336 1403253 1464264 1871004 2196396 2806506 3742008 4209759 4392792 5613012 8419518 11226024 12629277 16839036 25258554 33678072 50517108 101034216