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100141230441 = 3738988313883
BaseRepresentation
bin101110101000011100…
…0011110100101101001
3100120111000101120222210
41131100320132211221
53120042123333231
6114000530035333
710143410262030
oct1352070364551
9316430346883
10100141230441
113951912867a
12174a9118b49
13959bb5ab55
144bbdb05717
152911835a46
hex1750e1e969

100141230441 has 32 divisors (see below), whose sum is σ = 153172730880. Its totient is φ = 57007710144.

The previous prime is 100141230437. The next prime is 100141230481. The reversal of 100141230441 is 144032141001.

It is not a de Polignac number, because 100141230441 - 22 = 100141230437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100141230481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7206286 + ... + 7220168.

It is an arithmetic number, because the mean of its divisors is an integer number (4786647840).

Almost surely, 2100141230441 is an apocalyptic number.

It is an amenable number.

100141230441 is a deficient number, since it is larger than the sum of its proper divisors (53031500439).

100141230441 is a wasteful number, since it uses less digits than its factorization.

100141230441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15165.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100141230441 its reverse (144032141001), we get a palindrome (244173371442).

The spelling of 100141230441 in words is "one hundred billion, one hundred forty-one million, two hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 7 21 389 883 1167 2649 2723 6181 8169 13883 18543 41649 97181 291543 343487 1030461 2404409 5400487 7213227 12258689 16201461 36776067 37803409 85810823 113410227 257432469 4768630021 14305890063 33380410147 100141230441