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101033424 = 2432701621
BaseRepresentation
bin1100000010110…
…10010111010000
321001010000210200
412001122113100
5201331032144
614005255200
72334525042
oct601322720
9231100720
10101033424
11520379a8
1229a04500
1317c15cbb
14d5bda92
158d0ac69
hex605a5d0

101033424 has 30 divisors (see below), whose sum is σ = 282753666. Its totient is φ = 33677760.

The previous prime is 101033417. The next prime is 101033437. The reversal of 101033424 is 424330101.

It can be written as a sum of positive squares in only one way, i.e., 83393424 + 17640000 = 9132^2 + 4200^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101033397 and 101033406.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 350667 + ... + 350954.

Almost surely, 2101033424 is an apocalyptic number.

It is an amenable number.

101033424 is an abundant number, since it is smaller than the sum of its proper divisors (181720242).

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

101033424 is a wasteful number, since it uses less digits than its factorization.

101033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701635 (or 701626 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101033424 is about 10051.5383897193. The cubic root of 101033424 is about 465.7523166941.

Adding to 101033424 its reverse (424330101), we get a palindrome (525363525).

The spelling of 101033424 in words is "one hundred one million, thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 701621 1403242 2104863 2806484 4209726 5612968 6314589 8419452 11225936 12629178 16838904 25258356 33677808 50516712 101033424