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100444045 = 51310914177
BaseRepresentation
bin1011111110010…
…10011110001101
321000000002022211
411333022132031
5201203202140
613544510421
72326521532
oct577123615
9230002284
10100444045
1151775109
122977b411
1317a6a960
14d4a8d89
158c412ea
hex5fca78d

100444045 has 16 divisors (see below), whose sum is σ = 131004720. Its totient is φ = 73488384.

The previous prime is 100444037. The next prime is 100444049. The reversal of 100444045 is 540444001.

It can be written as a sum of positive squares in 8 ways, for example, as 3736489 + 96707556 = 1933^2 + 9834^2 .

It is a cyclic number.

It is not a de Polignac number, because 100444045 - 23 = 100444037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 14173.

It is an arithmetic number, because the mean of its divisors is an integer number (8187795).

Almost surely, 2100444045 is an apocalyptic number.

It is an amenable number.

100444045 is a deficient number, since it is larger than the sum of its proper divisors (30560675).

100444045 is a wasteful number, since it uses less digits than its factorization.

100444045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14304.

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 100444045 is about 10022.1776575752. The cubic root of 100444045 is about 464.8448937340.

Adding to 100444045 its reverse (540444001), we get a palindrome (640888046).

The spelling of 100444045 in words is "one hundred million, four hundred forty-four thousand, forty-five".

Divisors: 1 5 13 65 109 545 1417 7085 14177 70885 184301 921505 1545293 7726465 20088809 100444045