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10000132141041 = 337273311031057
BaseRepresentation
bin1001000110000101011001…
…0100101110111111110001
31022102000002101212201021000
42101201112110232333301
52302320232312003131
633133555225152213
72051325411463200
oct221412624567761
938360071781230
1010000132141041
113206039988599
12115611402b669
135770156436a3
1426801a8c9237
151251d6845ce6
hex9185652eff1

10000132141041 has 48 divisors (see below), whose sum is σ = 17236155343680. Its totient is φ = 5713576202880.

The previous prime is 10000132141009. The next prime is 10000132141061. The reversal of 10000132141041 is 14014123100001.

It is not a de Polignac number, because 10000132141041 - 25 = 10000132141009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000132141061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9183385 + ... + 10214441.

It is an arithmetic number, because the mean of its divisors is an integer number (359086569660).

Almost surely, 210000132141041 is an apocalyptic number.

It is an amenable number.

10000132141041 is a deficient number, since it is larger than the sum of its proper divisors (7236023202639).

10000132141041 is a wasteful number, since it uses less digits than its factorization.

10000132141041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038411 (or 1038398 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10000132141041 its reverse (14014123100001), we get a palindrome (24014255241042).

The spelling of 10000132141041 in words is "ten trillion, one hundred thirty-two million, one hundred forty-one thousand, forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 7331 21993 51317 65979 153951 197937 359219 461853 1031057 1077657 1385559 3093171 3232971 7217399 9279513 9698913 21652197 27838539 50521793 64956591 151565379 194869773 454696137 1364088411 7558678867 22676036601 52910752069 68028109803 158732256207 204084329409 370375264483 476196768621 1111125793449 1428590305863 3333377380347 10000132141041