Search a number
-
+
99909999990999 = 33113773137909091
BaseRepresentation
bin10110101101111000011100…
…000011110001100011010111
3111002202022011200102100211000
4112231320130003301203113
5101043411134444202444
6552254004222114343
730021154636530402
oct2655703403614327
9432668150370730
1099909999990999
112991a65838a350
12b257288a1b9b3
13439961b31c853
141a95953d10d39
15b83d4d440469
hex5ade1c0f18d7

99909999990999 has 128 divisors (see below), whose sum is σ = 169333730472960. Its totient is φ = 57683724134400.

The previous prime is 99909999990991. The next prime is 99909999991031.

99909999990999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99909999990999 - 23 = 99909999990991 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 99909999990999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99909999990991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109446444 + ... + 110355534.

It is an arithmetic number, because the mean of its divisors is an integer number (1322919769320).

Almost surely, 299909999990999 is an apocalyptic number.

99909999990999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99909999990999 is a deficient number, since it is larger than the sum of its proper divisors (69423730481961).

99909999990999 is a wasteful number, since it uses less digits than its factorization.

99909999990999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909358 (or 909352 counting only the distinct ones).

The product of its (nonzero) digits is 282429536481, while the sum is 108.

The spelling of 99909999990999 in words is "ninety-nine trillion, nine hundred nine billion, nine hundred ninety-nine million, nine hundred ninety thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 27 33 37 73 99 111 137 219 297 333 407 411 657 803 999 1221 1233 1507 1971 2409 2701 3663 3699 4521 5069 7227 8103 10001 10989 13563 15207 21681 24309 29711 30003 40689 45621 55759 72927 89133 90009 110011 136863 167277 267399 270027 330033 370037 501831 802197 909091 990099 1110111 1505493 2727273 2970297 3330333 4070407 8181819 9990999 10000001 12211221 24545457 30000003 33636367 36633663 66363643 90000009 100909101 109900989 124545467 199090929 270000027 302727303 370000037 373636401 597272787 730000073 908181909 1110000111 1120909203 1370000137 1791818361 2190000219 2455454791 3330000333 3362727609 4110000411 4608182279 6570000657 7366364373 9091819091 9990000999 12330001233 13824546837 19710001971 22099093119 27010002701 27275457273 36990003699 41473640511 50690005069 66297279357 81030008103 81826371819 100010010001 124420921533 152070015207 243090024309 245479115457 300030030003 336397306367 456210045621 729270072927 900090090009 1009191919101 1368630136863 2700270270027 3027575757303 3700370370037 9082727271909 11101111110111 33303333330333 99909999990999