Search a number
-
+
112111302303 = 327111322274217
BaseRepresentation
bin110100001101001011…
…0101011011010011111
3101201101020012020122200
41220122112223122133
53314100443133203
6123300410142543
711046136226520
oct1503226533237
9351336166580
10112111302303
11436009a8850
1219889a21a53
13a758a44300
1455d7772847
152db26439a3
hex1a1a5ab69f

112111302303 has 144 divisors (see below), whose sum is σ = 219637806336. Its totient is φ = 53510146560.

The previous prime is 112111302301. The next prime is 112111302337. The reversal of 112111302303 is 303203111211.

It is not a de Polignac number, because 112111302303 - 21 = 112111302301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111302301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26583451 + ... + 26587667.

It is an arithmetic number, because the mean of its divisors is an integer number (1525262544).

Almost surely, 2112111302303 is an apocalyptic number.

112111302303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112111302303 is a deficient number, since it is larger than the sum of its proper divisors (107526504033).

112111302303 is a wasteful number, since it uses less digits than its factorization.

112111302303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112111302303 its reverse (303203111211), we get a palindrome (415314413514).

It can be divided in two parts, 112111 and 302303, that added together give a palindrome (414414).

The spelling of 112111302303 in words is "one hundred twelve billion, one hundred eleven million, three hundred two thousand, three hundred three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 169 227 231 273 429 507 681 693 819 1001 1183 1287 1521 1589 1859 2043 2497 2951 3003 3549 4217 4767 5577 7491 8853 9009 10647 12651 13013 14301 16731 17479 20657 22473 26559 29519 32461 37953 38363 39039 46387 52437 54821 61971 88557 97383 115089 117117 139161 157311 164463 185913 227227 265671 268541 292149 324709 345267 383747 417483 421993 493389 603031 681681 712673 805623 957259 974127 1151241 1265979 1809093 2045043 2138019 2416869 2871777 2922381 2953951 3453723 3797937 4221217 4988711 5427279 6414057 6700813 7839403 8615331 8861853 10529849 12444367 12663651 14966133 20102439 23518209 26585559 31589547 37333101 37990953 44898399 54875821 60307317 70554627 73708943 87110569 94768641 111999303 136888037 161776771 164627463 221126829 261331707 410664111 485330313 493882389 663380487 783995121 958216259 1132437397 1231992333 1455990939 1779544481 2874648777 3397312191 5338633443 8623946331 10191936573 12456811367 16015900329 37370434101 112111302303