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9991313241 = 3713371675923
BaseRepresentation
bin10010100111000011…
…10101011101011001
3221210022102022010120
421103201311131121
5130430234010431
64331232303453
7502410522060
oct112341653531
927708368116
109991313241
114267921578
121b2a0a1b89
13c32c68590
146aad411d7
153d7244196
hex253875759

9991313241 has 64 divisors (see below), whose sum is σ = 16942829568. Its totient is φ = 5096141568.

The previous prime is 9991313239. The next prime is 9991313257. The reversal of 9991313241 is 1423131999.

It is not a de Polignac number, because 9991313241 - 21 = 9991313239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9991313193 and 9991313202.

It is not an unprimeable number, because it can be changed into a prime (9991313291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1683906 + ... + 1689828.

It is an arithmetic number, because the mean of its divisors is an integer number (264731712).

Almost surely, 29991313241 is an apocalyptic number.

9991313241 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9991313241 is a deficient number, since it is larger than the sum of its proper divisors (6951516327).

9991313241 is a wasteful number, since it uses less digits than its factorization.

9991313241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150.

The product of its digits is 52488, while the sum is 42.

The square root of 9991313241 is about 99956.5567684282. The cubic root of 9991313241 is about 2153.8106741433.

The spelling of 9991313241 in words is "nine billion, nine hundred ninety-one million, three hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 37 39 91 111 167 259 273 481 501 777 1169 1443 2171 3367 3507 5923 6179 6513 10101 15197 17769 18537 41461 43253 45591 76999 80327 124383 129759 219151 230997 240981 538993 562289 657453 989141 1534057 1616979 1686867 2848963 2967423 4602171 6923987 8546889 12858833 19942741 20771961 36598217 38576499 59828223 90011831 109794651 256187519 270035493 475776821 768562557 1427330463 3330437747 9991313241