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99058113 = 33711293153
BaseRepresentation
bin1011110011110…
…00000111000001
320220101200012000
411321320013001
5200324324423
613455054213
72311660110
oct571700701
9226350160
1099058113
1150a08910
1229211369
13176a3b8b
14d227c77
158a6a843
hex5e781c1

99058113 has 128 divisors (see below), whose sum is σ = 199065600. Its totient is φ = 47174400.

The previous prime is 99058103. The next prime is 99058147. The reversal of 99058113 is 31185099.

It is a happy number.

It is not a de Polignac number, because 99058113 - 25 = 99058081 is a prime.

It is a super-2 number, since 2×990581132 = 19625019502241538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99058103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1868995 + ... + 1869047.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 299058113 is an apocalyptic number.

99058113 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

99058113 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

99058113 is a wasteful number, since it uses less digits than its factorization.

99058113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 99058113 is about 9952.7942307676. The cubic root of 99058113 is about 462.6969998850.

The spelling of 99058113 in words is "ninety-nine million, fifty-eight thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 21 27 29 31 33 53 63 77 87 93 99 159 189 203 217 231 261 279 297 319 341 371 477 583 609 651 693 783 837 899 957 1023 1113 1431 1537 1643 1749 1827 1953 2079 2233 2387 2697 2871 3069 3339 4081 4611 4929 5247 5481 5859 6293 6699 7161 8091 8613 9207 9889 10017 10759 11501 12243 13833 14787 15741 16907 18073 18879 20097 21483 24273 29667 32277 34503 36729 41499 44361 47647 50721 54219 56637 60291 64449 69223 89001 96831 103509 110187 118349 126511 142941 152163 162657 169911 207669 267003 290493 310527 333529 355047 379533 428823 456489 487971 524117 623007 1000587 1065141 1138599 1286469 1572351 1869021 3001761 3195423 3415797 3668819 4717053 9005283 11006457 14151159 33019371 99058113