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10141140401 = 7329566007
BaseRepresentation
bin10010111000111010…
…11000010110110001
3222011202100022100122
421130131120112301
5131232112443101
64354143500025
7506210162000
oct113435302661
928152308318
1010141140401
114334455977
121b702b7615
13c580068c2
146c2bc2c37
153e548c51b
hex25c7585b1

10141140401 has 8 divisors (see below), whose sum is σ = 11826403200. Its totient is φ = 8692405764.

The previous prime is 10141140397. The next prime is 10141140403. The reversal of 10141140401 is 10404114101.

10141140401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10141140401 - 22 = 10141140397 is a prime.

It is a super-3 number, since 3×101411404013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10141140401.

It is not an unprimeable number, because it can be changed into a prime (10141140403) 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 7 ways as a sum of consecutive naturals, for example, 14782661 + ... + 14783346.

It is an arithmetic number, because the mean of its divisors is an integer number (1478300400).

Almost surely, 210141140401 is an apocalyptic number.

It is an amenable number.

10141140401 is a deficient number, since it is larger than the sum of its proper divisors (1685262799).

10141140401 is an frugal number, since it uses more digits than its factorization.

10141140401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29566028 (or 29566014 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10141140401 its reverse (10404114101), we get a palindrome (20545254502).

The spelling of 10141140401 in words is "ten billion, one hundred forty-one million, one hundred forty thousand, four hundred one".

Divisors: 1 7 49 343 29566007 206962049 1448734343 10141140401