Search a number
-
+
31010244024431 = 719312376557351
BaseRepresentation
bin1110000110100001000101…
…00101000101100001101111
311001210112212020001112200102
413003100202211011201233
513031032434432240211
6145541524234421315
76350262520043540
oct703204245054157
9131715766045612
1031010244024431
119976409353141
123589babb9183b
13143c33ab24ab9
14792c921184c7
1538b9aaa51a3b
hex1c342294586f

31010244024431 has 48 divisors (see below), whose sum is σ = 39589619258880. Its totient is φ = 23710328424000.

The previous prime is 31010244024413. The next prime is 31010244024449. The reversal of 31010244024431 is 13442044201013.

It is an interprime number because it is at equal distance from previous prime (31010244024413) and next prime (31010244024449).

It is not a de Polignac number, because 31010244024431 - 26 = 31010244024367 is a prime.

It is a super-2 number, since 2×310102440244312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31010244024394 and 31010244024403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31010244024031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450406 + ... + 8007756.

It is an arithmetic number, because the mean of its divisors is an integer number (824783734560).

Almost surely, 231010244024431 is an apocalyptic number.

31010244024431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31010244024431 is a deficient number, since it is larger than the sum of its proper divisors (8579375234449).

31010244024431 is a wasteful number, since it uses less digits than its factorization.

31010244024431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557476 (or 6557445 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 31010244024431 its reverse (13442044201013), we get a palindrome (44452288225444).

The spelling of 31010244024431 in words is "thirty-one trillion, ten billion, two hundred forty-four million, twenty-four thousand, four hundred thirty-one".

Divisors: 1 7 19 31 37 133 217 259 589 703 961 1147 4123 4921 6727 8029 18259 21793 35557 127813 152551 248899 675583 4729081 6557351 45901457 124589669 203277881 242621987 872127683 1422945167 1698353909 3862279739 4609817753 6301614311 7521281597 27035958173 32268724271 44111300177 52648971179 119730671909 142904350343 233159729507 838114703363 1000330452401 1632118106549 4430034860633 31010244024431