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10000133441 = 673972947
BaseRepresentation
bin10010101000000110…
…11110110101000001
3221210221000102011122
421110003132311001
5130440013232231
64332145322025
7502545505664
oct112403366501
927727012148
1010000133441
1142718a62a1
121b31036315
13c34a3612c
146ac1996db
153d7dd777b
hex2540ded41

10000133441 has 12 divisors (see below), whose sum is σ = 10185763248. Its totient is φ = 9815688432.

The previous prime is 10000133383. The next prime is 10000133461. The reversal of 10000133441 is 14433100001.

It is not a de Polignac number, because 10000133441 - 222 = 9995939137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000133461) 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, 10559330 + ... + 10560276.

It is an arithmetic number, because the mean of its divisors is an integer number (848813604).

Almost surely, 210000133441 is an apocalyptic number.

It is an amenable number.

10000133441 is a deficient number, since it is larger than the sum of its proper divisors (185629807).

10000133441 is an frugal number, since it uses more digits than its factorization.

10000133441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10000133441 its reverse (14433100001), we get a palindrome (24433233442).

The spelling of 10000133441 in words is "ten billion, one hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 67 397 947 26599 63449 157609 375959 10559803 25189253 149255723 10000133441