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2431140103301 = 7213191483135449
BaseRepresentation
bin100011011000001011001…
…111100000010010000101
322121102012100000101001012
4203120023033200102011
5304312433331301201
65100503401412005
7340433626626200
oct43301317402205
98542170011035
102431140103301
1185804a232748
12333207a9a005
1314834251a030
148594c678937
154338d6585bb
hex2360b3e0485

2431140103301 has 48 divisors (see below), whose sum is σ = 3208084488000. Its totient is φ = 1821058267392.

The previous prime is 2431140103267. The next prime is 2431140103309. The reversal of 2431140103301 is 1033010411342.

It is a de Polignac number, because none of the positive numbers 2k-2431140103301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431140103309) 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 47 ways as a sum of consecutive naturals, for example, 17881025 + ... + 18016473.

It is an arithmetic number, because the mean of its divisors is an integer number (66835093500).

Almost surely, 22431140103301 is an apocalyptic number.

It is an amenable number.

2431140103301 is a deficient number, since it is larger than the sum of its proper divisors (776944384699).

2431140103301 is a wasteful number, since it uses less digits than its factorization.

2431140103301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136978 (or 136971 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2431140103301 its reverse (1033010411342), we get a palindrome (3464150514643).

The spelling of 2431140103301 in words is "two trillion, four hundred thirty-one billion, one hundred forty million, one hundred three thousand, three hundred one".

Divisors: 1 7 13 19 49 91 133 247 637 931 1483 1729 10381 12103 19279 28177 72667 134953 135449 197239 366301 944671 948143 1380673 1760837 2564107 2573531 6637001 12325859 17948749 18014717 33455903 86281013 126103019 200870867 234191321 1406096069 1639339247 2611321271 3816546473 9842672483 18279248897 26715825311 49615104149 127954742279 187010777177 347305729043 2431140103301