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10306641112434 = 23244911497110921
BaseRepresentation
bin1001010111111011001110…
…1011101010110101110010
31100111022020112120202011200
42111332303223222311302
52322331000111044214
633530450000152030
72112426113654532
oct225766353526562
940438215522150
1010306641112434
11331402723a397
1211a55b5308616
13599bb1b14754
14278bb62894c2
1512d175678d09
hex95fb3aead72

10306641112434 has 48 divisors (see below), whose sum is σ = 22382939287800. Its totient is φ = 3427566428160.

The previous prime is 10306641112433. The next prime is 10306641112477. The reversal of 10306641112434 is 43421114660301.

10306641112434 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 641 + 1 + 1 + 2 + 4 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6262331076225 + 4044310036209 = 2502465^2 + 2011047^2 .

It is a super-2 number, since 2×103066411124342 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10306641112433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92863294 + ... + 92974214.

Almost surely, 210306641112434 is an apocalyptic number.

10306641112434 is an abundant number, since it is smaller than the sum of its proper divisors (12076298175366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10306641112434 is a wasteful number, since it uses less digits than its factorization.

10306641112434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122875 (or 122872 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10306641112434 its reverse (43421114660301), we get a palindrome (53727755772735).

The spelling of 10306641112434 in words is "ten trillion, three hundred six billion, six hundred forty-one million, one hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 449 898 1347 2694 4041 8082 11497 22994 34491 68982 103473 110921 206946 221842 332763 665526 998289 1996578 5162153 10324306 15486459 30972918 46459377 49803529 92918754 99607058 149410587 298821174 448231761 896463522 1275258737 2550517474 3825776211 7651552422 11477328633 22954657266 572591172913 1145182345826 1717773518739 3435547037478 5153320556217 10306641112434