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10141110202431 = 3131672815541127
BaseRepresentation
bin1001001110010010100101…
…0001010111000000111111
31022220110222101222021000010
42103210221101113000333
52312122443202434211
633322432310234303
72064446110311345
oct223445121270077
938813871867003
1010141110202431
11325a90337072a
1211794b9355993
135873c1a30c20
14270b91d93995
15128bd83634a6
hex9392945703f

10141110202431 has 32 divisors (see below), whose sum is σ = 14700922887168. Its totient is φ = 6181236875520.

The previous prime is 10141110202423. The next prime is 10141110202459. The reversal of 10141110202431 is 13420201114101.

It is not a de Polignac number, because 10141110202431 - 23 = 10141110202423 is a prime.

It is a super-2 number, since 2×101411102024312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10141110202398 and 10141110202407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141110252431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940411 + ... + 4600716.

It is an arithmetic number, because the mean of its divisors is an integer number (459403840224).

Almost surely, 210141110202431 is an apocalyptic number.

10141110202431 is a deficient number, since it is larger than the sum of its proper divisors (4559812684737).

10141110202431 is a wasteful number, since it uses less digits than its factorization.

10141110202431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541591.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10141110202431 its reverse (13420201114101), we get a palindrome (23561311316532).

The spelling of 10141110202431 in words is "ten trillion, one hundred forty-one billion, one hundred ten million, two hundred two thousand, four hundred thirty-one".

Divisors: 1 3 13 39 167 281 501 843 2171 3653 6513 10959 46927 140781 610051 1830153 5541127 16623381 72034651 216103953 925368209 1557056687 2776104627 4671170061 12029786717 20241736931 36089360151 60725210793 260028466729 780085400187 3380370067477 10141110202431