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100104021441 = 3237300612677
BaseRepresentation
bin101110100111010101…
…0100010010111000001
3100120101102101011211200
41131032222202113001
53120003112141231
6113553120331413
710142446100004
oct1351652422701
9316342334750
10100104021441
11394aa123a36
1217498773b69
1395942307a8
144bb8bbb53b
15290d435be6
hex174eaa25c1

100104021441 has 12 divisors (see below), whose sum is σ = 148502662932. Its totient is φ = 64932338016.

The previous prime is 100104021439. The next prime is 100104021469. The reversal of 100104021441 is 144120401001.

100104021441 is a `hidden beast` number, since 100 + 104 + 0 + 21 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82999305216 + 17104716225 = 288096^2 + 130785^2 .

It is not a de Polignac number, because 100104021441 - 21 = 100104021439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100104021431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150306006 + ... + 150306671.

It is an arithmetic number, because the mean of its divisors is an integer number (12375221911).

Almost surely, 2100104021441 is an apocalyptic number.

It is an amenable number.

100104021441 is a deficient number, since it is larger than the sum of its proper divisors (48398641491).

100104021441 is a wasteful number, since it uses less digits than its factorization.

100104021441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300612720 (or 300612717 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100104021441 its reverse (144120401001), we get a palindrome (244224422442).

The spelling of 100104021441 in words is "one hundred billion, one hundred four million, twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 37 111 333 300612677 901838031 2705514093 11122669049 33368007147 100104021441